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Finding the Third Proportional to 644,813,408 and 1,399,103,659

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Solution

The third proportional to 644,813,408 and 1,399,103,659 is: 3,035,748,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,813,408 : 1,399,103,659 = 1,399,103,659 : x
  2. Step 2: Convert to fraction form
    644,813,408/1,399,103,659 = 1,399,103,659/x
  3. Step 3: Cross multiply
    644,813,408x = 1,399,103,659 × 1,399,103,659
  4. Step 4: Simplify right side
    644,813,408x = 1,957,491,048,627,188,224
  5. Step 5: Solve for x
    x = 1,957,491,048,627,188,224/644,813,408
  6. Step 6: Final answer
    x = 3,035,748,054.15

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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.