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Finding the Third Proportional to 10,515,561.75 and 21,867,013.13

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Solution

The third proportional to 10,515,561.75 and 21,867,013.13 is: 45,472,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515,561.75 : 21,867,013.13 = 21,867,013.13 : x
  2. Step 2: Convert to fraction form
    10,515,561.75/21,867,013.13 = 21,867,013.13/x
  3. Step 3: Cross multiply
    10,515,561.75x = 21,867,013.13 × 21,867,013.13
  4. Step 4: Simplify right side
    10,515,561.75x = 478,166,263,008,922.25
  5. Step 5: Solve for x
    x = 478,166,263,008,922.25/10,515,561.75
  6. Step 6: Final answer
    x = 45,472,250.97

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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.