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Finding the Third Proportional to 54,537,664 and 86,822,249

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Solution

The third proportional to 54,537,664 and 86,822,249 is: 138,218,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,537,664 : 86,822,249 = 86,822,249 : x
  2. Step 2: Convert to fraction form
    54,537,664/86,822,249 = 86,822,249/x
  3. Step 3: Cross multiply
    54,537,664x = 86,822,249 × 86,822,249
  4. Step 4: Simplify right side
    54,537,664x = 7,538,102,921,418,001
  5. Step 5: Solve for x
    x = 7,538,102,921,418,001/54,537,664
  6. Step 6: Final answer
    x = 138,218,294.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.