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Finding the Third Proportional to 644,813,422 and 1,399,103,689

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Solution

The third proportional to 644,813,422 and 1,399,103,689 is: 3,035,748,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,813,422 : 1,399,103,689 = 1,399,103,689 : x
  2. Step 2: Convert to fraction form
    644,813,422/1,399,103,689 = 1,399,103,689/x
  3. Step 3: Cross multiply
    644,813,422x = 1,399,103,689 × 1,399,103,689
  4. Step 4: Simplify right side
    644,813,422x = 1,957,491,132,573,408,768
  5. Step 5: Solve for x
    x = 1,957,491,132,573,408,768/644,813,422
  6. Step 6: Final answer
    x = 3,035,748,118.43

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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.