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Finding the Third Proportional to 17,661,672.25 and 23,854,983.75

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Solution

The third proportional to 17,661,672.25 and 23,854,983.75 is: 32,220,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661,672.25 : 23,854,983.75 = 23,854,983.75 : x
  2. Step 2: Convert to fraction form
    17,661,672.25/23,854,983.75 = 23,854,983.75/x
  3. Step 3: Cross multiply
    17,661,672.25x = 23,854,983.75 × 23,854,983.75
  4. Step 4: Simplify right side
    17,661,672.25x = 569,060,249,712,764
  5. Step 5: Solve for x
    x = 569,060,249,712,764/17,661,672.25
  6. Step 6: Final answer
    x = 32,220,066.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.