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Finding the Third Proportional to 5,317,755 and 7,744,120.50

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Solution

The third proportional to 5,317,755 and 7,744,120.50 is: 11,277,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317,755 : 7,744,120.50 = 7,744,120.50 : x
  2. Step 2: Convert to fraction form
    5,317,755/7,744,120.50 = 7,744,120.50/x
  3. Step 3: Cross multiply
    5,317,755x = 7,744,120.50 × 7,744,120.50
  4. Step 4: Simplify right side
    5,317,755x = 59,971,402,318,520.25
  5. Step 5: Solve for x
    x = 59,971,402,318,520.25/5,317,755
  6. Step 6: Final answer
    x = 11,277,579.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.