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Finding the Third Proportional to 6,899,787,729 and 15,008,489,463

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Solution

The third proportional to 6,899,787,729 and 15,008,489,463 is: 32,646,621,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899,787,729 : 15,008,489,463 = 15,008,489,463 : x
  2. Step 2: Convert to fraction form
    6,899,787,729/15,008,489,463 = 15,008,489,463/x
  3. Step 3: Cross multiply
    6,899,787,729x = 15,008,489,463 × 15,008,489,463
  4. Step 4: Simplify right side
    6,899,787,729x = 225,254,755,960,982,044,672
  5. Step 5: Solve for x
    x = 225,254,755,960,982,044,672/6,899,787,729
  6. Step 6: Final answer
    x = 32,646,621,143.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.