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Finding the Third Proportional to 24,126,082.50 and 52,857,703.50

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Solution

The third proportional to 24,126,082.50 and 52,857,703.50 is: 115,805,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,126,082.50 : 52,857,703.50 = 52,857,703.50 : x
  2. Step 2: Convert to fraction form
    24,126,082.50/52,857,703.50 = 52,857,703.50/x
  3. Step 3: Cross multiply
    24,126,082.50x = 52,857,703.50 × 52,857,703.50
  4. Step 4: Simplify right side
    24,126,082.50x = 2,793,936,819,293,912
  5. Step 5: Solve for x
    x = 2,793,936,819,293,912/24,126,082.50
  6. Step 6: Final answer
    x = 115,805,656.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.