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Finding the Third Proportional to 61,982,134 and 135,124,545

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Solution

The third proportional to 61,982,134 and 135,124,545 is: 294,579,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,982,134 : 135,124,545 = 135,124,545 : x
  2. Step 2: Convert to fraction form
    61,982,134/135,124,545 = 135,124,545/x
  3. Step 3: Cross multiply
    61,982,134x = 135,124,545 × 135,124,545
  4. Step 4: Simplify right side
    61,982,134x = 18,258,642,661,457,024
  5. Step 5: Solve for x
    x = 18,258,642,661,457,024/61,982,134
  6. Step 6: Final answer
    x = 294,579,122.78

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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.