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Finding the Third Proportional to 10,123,217.25 and 21,782,708.25

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Solution

The third proportional to 10,123,217.25 and 21,782,708.25 is: 46,871,105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123,217.25 : 21,782,708.25 = 21,782,708.25 : x
  2. Step 2: Convert to fraction form
    10,123,217.25/21,782,708.25 = 21,782,708.25/x
  3. Step 3: Cross multiply
    10,123,217.25x = 21,782,708.25 × 21,782,708.25
  4. Step 4: Simplify right side
    10,123,217.25x = 474,486,378,704,618.06
  5. Step 5: Solve for x
    x = 474,486,378,704,618.06/10,123,217.25
  6. Step 6: Final answer
    x = 46,871,105.00

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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.