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Finding the Third Proportional to 38,424,750 and 82,341,057

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Solution

The third proportional to 38,424,750 and 82,341,057 is: 176,450,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424,750 : 82,341,057 = 82,341,057 : x
  2. Step 2: Convert to fraction form
    38,424,750/82,341,057 = 82,341,057/x
  3. Step 3: Cross multiply
    38,424,750x = 82,341,057 × 82,341,057
  4. Step 4: Simplify right side
    38,424,750x = 6,780,049,667,877,249
  5. Step 5: Solve for x
    x = 6,780,049,667,877,249/38,424,750
  6. Step 6: Final answer
    x = 176,450,065.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.