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Finding the Third Proportional to 38,734,920 and 83,882,440

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Solution

The third proportional to 38,734,920 and 83,882,440 is: 181,651,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,734,920 : 83,882,440 = 83,882,440 : x
  2. Step 2: Convert to fraction form
    38,734,920/83,882,440 = 83,882,440/x
  3. Step 3: Cross multiply
    38,734,920x = 83,882,440 × 83,882,440
  4. Step 4: Simplify right side
    38,734,920x = 7,036,263,740,353,600
  5. Step 5: Solve for x
    x = 7,036,263,740,353,600/38,734,920
  6. Step 6: Final answer
    x = 181,651,691.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.