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Finding the Third Proportional to 24,781,727.25 and 51,600,008.25

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Solution

The third proportional to 24,781,727.25 and 51,600,008.25 is: 107,440,487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781,727.25 : 51,600,008.25 = 51,600,008.25 : x
  2. Step 2: Convert to fraction form
    24,781,727.25/51,600,008.25 = 51,600,008.25/x
  3. Step 3: Cross multiply
    24,781,727.25x = 51,600,008.25 × 51,600,008.25
  4. Step 4: Simplify right side
    24,781,727.25x = 2,662,560,851,400,068
  5. Step 5: Solve for x
    x = 2,662,560,851,400,068/24,781,727.25
  6. Step 6: Final answer
    x = 107,440,487.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.