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Finding the Third Proportional to 61,583,498 and 86,097,357

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Solution

The third proportional to 61,583,498 and 86,097,357 is: 120,369,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,583,498 : 86,097,357 = 86,097,357 : x
  2. Step 2: Convert to fraction form
    61,583,498/86,097,357 = 86,097,357/x
  3. Step 3: Cross multiply
    61,583,498x = 86,097,357 × 86,097,357
  4. Step 4: Simplify right side
    61,583,498x = 7,412,754,882,385,449
  5. Step 5: Solve for x
    x = 7,412,754,882,385,449/61,583,498
  6. Step 6: Final answer
    x = 120,369,175.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.