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Finding the Third Proportional to 644,813,432 and 1,399,103,696

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Solution

The third proportional to 644,813,432 and 1,399,103,696 is: 3,035,748,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,813,432 : 1,399,103,696 = 1,399,103,696 : x
  2. Step 2: Convert to fraction form
    644,813,432/1,399,103,696 = 1,399,103,696/x
  3. Step 3: Cross multiply
    644,813,432x = 1,399,103,696 × 1,399,103,696
  4. Step 4: Simplify right side
    644,813,432x = 1,957,491,152,160,860,416
  5. Step 5: Solve for x
    x = 1,957,491,152,160,860,416/644,813,432
  6. Step 6: Final answer
    x = 3,035,748,101.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.