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Finding the Third Proportional to 7,854,525 and 17,283,687.75

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Solution

The third proportional to 7,854,525 and 17,283,687.75 is: 38,032,326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854,525 : 17,283,687.75 = 17,283,687.75 : x
  2. Step 2: Convert to fraction form
    7,854,525/17,283,687.75 = 17,283,687.75/x
  3. Step 3: Cross multiply
    7,854,525x = 17,283,687.75 × 17,283,687.75
  4. Step 4: Simplify right side
    7,854,525x = 298,725,862,239,500.06
  5. Step 5: Solve for x
    x = 298,725,862,239,500.06/7,854,525
  6. Step 6: Final answer
    x = 38,032,326.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.