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Finding the Third Proportional to 76,650,381 and 114,947,424

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Solution

The third proportional to 76,650,381 and 114,947,424 is: 172,378,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,650,381 : 114,947,424 = 114,947,424 : x
  2. Step 2: Convert to fraction form
    76,650,381/114,947,424 = 114,947,424/x
  3. Step 3: Cross multiply
    76,650,381x = 114,947,424 × 114,947,424
  4. Step 4: Simplify right side
    76,650,381x = 13,212,910,284,235,776
  5. Step 5: Solve for x
    x = 13,212,910,284,235,776/76,650,381
  6. Step 6: Final answer
    x = 172,378,925.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.