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Finding the Third Proportional to 76,650,776 and 114,947,940

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Solution

The third proportional to 76,650,776 and 114,947,940 is: 172,379,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,650,776 : 114,947,940 = 114,947,940 : x
  2. Step 2: Convert to fraction form
    76,650,776/114,947,940 = 114,947,940/x
  3. Step 3: Cross multiply
    76,650,776x = 114,947,940 × 114,947,940
  4. Step 4: Simplify right side
    76,650,776x = 13,213,028,910,243,600
  5. Step 5: Solve for x
    x = 13,213,028,910,243,600/76,650,776
  6. Step 6: Final answer
    x = 172,379,584.39

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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.