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Finding the Third Proportional to 55,664,257 and 75,513,609

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Solution

The third proportional to 55,664,257 and 75,513,609 is: 102,441,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,664,257 : 75,513,609 = 75,513,609 : x
  2. Step 2: Convert to fraction form
    55,664,257/75,513,609 = 75,513,609/x
  3. Step 3: Cross multiply
    55,664,257x = 75,513,609 × 75,513,609
  4. Step 4: Simplify right side
    55,664,257x = 5,702,305,144,204,881
  5. Step 5: Solve for x
    x = 5,702,305,144,204,881/55,664,257
  6. Step 6: Final answer
    x = 102,441,053.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.