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Finding the Third Proportional to 24,693,612.75 and 53,179,960.50

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Solution

The third proportional to 24,693,612.75 and 53,179,960.50 is: 114,527,923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,693,612.75 : 53,179,960.50 = 53,179,960.50 : x
  2. Step 2: Convert to fraction form
    24,693,612.75/53,179,960.50 = 53,179,960.50/x
  3. Step 3: Cross multiply
    24,693,612.75x = 53,179,960.50 × 53,179,960.50
  4. Step 4: Simplify right side
    24,693,612.75x = 2,828,108,198,781,560
  5. Step 5: Solve for x
    x = 2,828,108,198,781,560/24,693,612.75
  6. Step 6: Final answer
    x = 114,527,923.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.