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Finding the Third Proportional to 63,665,857 and 136,407,728

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Solution

The third proportional to 63,665,857 and 136,407,728 is: 292,261,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,665,857 : 136,407,728 = 136,407,728 : x
  2. Step 2: Convert to fraction form
    63,665,857/136,407,728 = 136,407,728/x
  3. Step 3: Cross multiply
    63,665,857x = 136,407,728 × 136,407,728
  4. Step 4: Simplify right side
    63,665,857x = 18,607,068,258,121,984
  5. Step 5: Solve for x
    x = 18,607,068,258,121,984/63,665,857
  6. Step 6: Final answer
    x = 292,261,333.39

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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.