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Finding the Third Proportional to 73,182,678 and 107,746,569

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Solution

The third proportional to 73,182,678 and 107,746,569 is: 158,634,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,182,678 : 107,746,569 = 107,746,569 : x
  2. Step 2: Convert to fraction form
    73,182,678/107,746,569 = 107,746,569/x
  3. Step 3: Cross multiply
    73,182,678x = 107,746,569 × 107,746,569
  4. Step 4: Simplify right side
    73,182,678x = 11,609,323,131,271,760
  5. Step 5: Solve for x
    x = 11,609,323,131,271,760/73,182,678
  6. Step 6: Final answer
    x = 158,634,849.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.