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Finding the Third Proportional to 8,070,387.75 and 17,415,695.25

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Solution

The third proportional to 8,070,387.75 and 17,415,695.25 is: 37,582,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070,387.75 : 17,415,695.25 = 17,415,695.25 : x
  2. Step 2: Convert to fraction form
    8,070,387.75/17,415,695.25 = 17,415,695.25/x
  3. Step 3: Cross multiply
    8,070,387.75x = 17,415,695.25 × 17,415,695.25
  4. Step 4: Simplify right side
    8,070,387.75x = 303,306,441,040,872.56
  5. Step 5: Solve for x
    x = 303,306,441,040,872.56/8,070,387.75
  6. Step 6: Final answer
    x = 37,582,635.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.