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Finding the Third Proportional to 10,686,264.75 and 23,332,218.75

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Solution

The third proportional to 10,686,264.75 and 23,332,218.75 is: 50,943,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686,264.75 : 23,332,218.75 = 23,332,218.75 : x
  2. Step 2: Convert to fraction form
    10,686,264.75/23,332,218.75 = 23,332,218.75/x
  3. Step 3: Cross multiply
    10,686,264.75x = 23,332,218.75 × 23,332,218.75
  4. Step 4: Simplify right side
    10,686,264.75x = 544,392,431,797,851.56
  5. Step 5: Solve for x
    x = 544,392,431,797,851.56/10,686,264.75
  6. Step 6: Final answer
    x = 50,943,191.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.