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Finding the Third Proportional to 3,744,149,698,311.60 and 8,051,781,051,264.90

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Solution

The third proportional to 3,744,149,698,311.60 and 8,051,781,051,264.90 is: 17,315,327,463,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744,149,698,311.60 : 8,051,781,051,264.90 = 8,051,781,051,264.90 : x
  2. Step 2: Convert to fraction form
    3,744,149,698,311.60/8,051,781,051,264.90 = 8,051,781,051,264.90/x
  3. Step 3: Cross multiply
    3,744,149,698,311.60x = 8,051,781,051,264.90 × 8,051,781,051,264.90
  4. Step 4: Simplify right side
    3,744,149,698,311.60x = 64,831,178,097,508,503,791,861,760
  5. Step 5: Solve for x
    x = 64,831,178,097,508,503,791,861,760/3,744,149,698,311.60
  6. Step 6: Final answer
    x = 17,315,327,463,200.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.