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Finding the Third Proportional to 38,375,142 and 78,291,795

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Solution

The third proportional to 38,375,142 and 78,291,795 is: 159,728,533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,375,142 : 78,291,795 = 78,291,795 : x
  2. Step 2: Convert to fraction form
    38,375,142/78,291,795 = 78,291,795/x
  3. Step 3: Cross multiply
    38,375,142x = 78,291,795 × 78,291,795
  4. Step 4: Simplify right side
    38,375,142x = 6,129,605,164,322,025
  5. Step 5: Solve for x
    x = 6,129,605,164,322,025/38,375,142
  6. Step 6: Final answer
    x = 159,728,533.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.