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Finding the Third Proportional to 38,605,784 and 80,387,120

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Solution

The third proportional to 38,605,784 and 80,387,120 is: 167,386,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,605,784 : 80,387,120 = 80,387,120 : x
  2. Step 2: Convert to fraction form
    38,605,784/80,387,120 = 80,387,120/x
  3. Step 3: Cross multiply
    38,605,784x = 80,387,120 × 80,387,120
  4. Step 4: Simplify right side
    38,605,784x = 6,462,089,061,894,400
  5. Step 5: Solve for x
    x = 6,462,089,061,894,400/38,605,784
  6. Step 6: Final answer
    x = 167,386,551.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.