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Finding the Third Proportional to 3,744,149,698,328.70 and 8,051,781,051,298.20

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Solution

The third proportional to 3,744,149,698,328.70 and 8,051,781,051,298.20 is: 17,315,327,463,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744,149,698,328.70 : 8,051,781,051,298.20 = 8,051,781,051,298.20 : x
  2. Step 2: Convert to fraction form
    3,744,149,698,328.70/8,051,781,051,298.20 = 8,051,781,051,298.20/x
  3. Step 3: Cross multiply
    3,744,149,698,328.70x = 8,051,781,051,298.20 × 8,051,781,051,298.20
  4. Step 4: Simplify right side
    3,744,149,698,328.70x = 64,831,178,098,044,747,638,636,544
  5. Step 5: Solve for x
    x = 64,831,178,098,044,747,638,636,544/3,744,149,698,328.70
  6. Step 6: Final answer
    x = 17,315,327,463,264.58

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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.