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Finding the Third Proportional to 649,140,614 and 1,530,853,792

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Solution

The third proportional to 649,140,614 and 1,530,853,792 is: 3,610,178,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,140,614 : 1,530,853,792 = 1,530,853,792 : x
  2. Step 2: Convert to fraction form
    649,140,614/1,530,853,792 = 1,530,853,792/x
  3. Step 3: Cross multiply
    649,140,614x = 1,530,853,792 × 1,530,853,792
  4. Step 4: Simplify right side
    649,140,614x = 2,343,513,332,480,779,264
  5. Step 5: Solve for x
    x = 2,343,513,332,480,779,264/649,140,614
  6. Step 6: Final answer
    x = 3,610,178,260.21

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.