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Finding the Third Proportional to 38,424,746 and 82,341,049

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Solution

The third proportional to 38,424,746 and 82,341,049 is: 176,450,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424,746 : 82,341,049 = 82,341,049 : x
  2. Step 2: Convert to fraction form
    38,424,746/82,341,049 = 82,341,049/x
  3. Step 3: Cross multiply
    38,424,746x = 82,341,049 × 82,341,049
  4. Step 4: Simplify right side
    38,424,746x = 6,780,048,350,420,401
  5. Step 5: Solve for x
    x = 6,780,048,350,420,401/38,424,746
  6. Step 6: Final answer
    x = 176,450,049.93

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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.