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Finding the Third Proportional to 3,730,403,440 and 7,724,926,472

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Solution

The third proportional to 3,730,403,440 and 7,724,926,472 is: 15,996,792,292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730,403,440 : 7,724,926,472 = 7,724,926,472 : x
  2. Step 2: Convert to fraction form
    3,730,403,440/7,724,926,472 = 7,724,926,472/x
  3. Step 3: Cross multiply
    3,730,403,440x = 7,724,926,472 × 7,724,926,472
  4. Step 4: Simplify right side
    3,730,403,440x = 59,674,488,997,806,366,720
  5. Step 5: Solve for x
    x = 59,674,488,997,806,366,720/3,730,403,440
  6. Step 6: Final answer
    x = 15,996,792,292.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.