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Finding the Third Proportional to 76,650,572 and 114,947,712

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Solution

The third proportional to 76,650,572 and 114,947,712 is: 172,379,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,650,572 : 114,947,712 = 114,947,712 : x
  2. Step 2: Convert to fraction form
    76,650,572/114,947,712 = 114,947,712/x
  3. Step 3: Cross multiply
    76,650,572x = 114,947,712 × 114,947,712
  4. Step 4: Simplify right side
    76,650,572x = 13,212,976,494,034,944
  5. Step 5: Solve for x
    x = 13,212,976,494,034,944/76,650,572
  6. Step 6: Final answer
    x = 172,379,359.34

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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.