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Finding the Third Proportional to 38,424,762 and 82,341,080

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Solution

The third proportional to 38,424,762 and 82,341,080 is: 176,450,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424,762 : 82,341,080 = 82,341,080 : x
  2. Step 2: Convert to fraction form
    38,424,762/82,341,080 = 82,341,080/x
  3. Step 3: Cross multiply
    38,424,762x = 82,341,080 × 82,341,080
  4. Step 4: Simplify right side
    38,424,762x = 6,780,053,455,566,400
  5. Step 5: Solve for x
    x = 6,780,053,455,566,400/38,424,762
  6. Step 6: Final answer
    x = 176,450,109.32

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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.