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Finding the Third Proportional to 38,424,767 and 82,341,088

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Solution

The third proportional to 38,424,767 and 82,341,088 is: 176,450,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424,767 : 82,341,088 = 82,341,088 : x
  2. Step 2: Convert to fraction form
    38,424,767/82,341,088 = 82,341,088/x
  3. Step 3: Cross multiply
    38,424,767x = 82,341,088 × 82,341,088
  4. Step 4: Simplify right side
    38,424,767x = 6,780,054,773,023,744
  5. Step 5: Solve for x
    x = 6,780,054,773,023,744/38,424,767
  6. Step 6: Final answer
    x = 176,450,120.65

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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.