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Finding the Third Proportional to 52,140,825 and 78,882,327

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Solution

The third proportional to 52,140,825 and 78,882,327 is: 119,338,762.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,140,825 : 78,882,327 = 78,882,327 : x
  2. Step 2: Convert to fraction form
    52,140,825/78,882,327 = 78,882,327/x
  3. Step 3: Cross multiply
    52,140,825x = 78,882,327 × 78,882,327
  4. Step 4: Simplify right side
    52,140,825x = 6,222,421,512,934,929
  5. Step 5: Solve for x
    x = 6,222,421,512,934,929/52,140,825
  6. Step 6: Final answer
    x = 119,338,762.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.