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Finding the Third Proportional to 38,564,684 and 51,181,050

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Solution

The third proportional to 38,564,684 and 51,181,050 is: 67,924,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564,684 : 51,181,050 = 51,181,050 : x
  2. Step 2: Convert to fraction form
    38,564,684/51,181,050 = 51,181,050/x
  3. Step 3: Cross multiply
    38,564,684x = 51,181,050 × 51,181,050
  4. Step 4: Simplify right side
    38,564,684x = 2,619,499,879,102,500
  5. Step 5: Solve for x
    x = 2,619,499,879,102,500/38,564,684
  6. Step 6: Final answer
    x = 67,924,837.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.