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Finding the Third Proportional to 29,864,260,938 and 63,988,250,872

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Solution

The third proportional to 29,864,260,938 and 63,988,250,872 is: 137,103,551,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,864,260,938 : 63,988,250,872 = 63,988,250,872 : x
  2. Step 2: Convert to fraction form
    29,864,260,938/63,988,250,872 = 63,988,250,872/x
  3. Step 3: Cross multiply
    29,864,260,938x = 63,988,250,872 × 63,988,250,872
  4. Step 4: Simplify right side
    29,864,260,938x = 4,094,496,249,658,008,928,256
  5. Step 5: Solve for x
    x = 4,094,496,249,658,008,928,256/29,864,260,938
  6. Step 6: Final answer
    x = 137,103,551,906.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.