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Finding the Third Proportional to 644,813,406 and 1,399,103,655

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Solution

The third proportional to 644,813,406 and 1,399,103,655 is: 3,035,748,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,813,406 : 1,399,103,655 = 1,399,103,655 : x
  2. Step 2: Convert to fraction form
    644,813,406/1,399,103,655 = 1,399,103,655/x
  3. Step 3: Cross multiply
    644,813,406x = 1,399,103,655 × 1,399,103,655
  4. Step 4: Simplify right side
    644,813,406x = 1,957,491,037,434,359,040
  5. Step 5: Solve for x
    x = 1,957,491,037,434,359,040/644,813,406
  6. Step 6: Final answer
    x = 3,035,748,046.21

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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.