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Finding the Third Proportional to 8,070,414 and 17,415,744

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Solution

The third proportional to 8,070,414 and 17,415,744 is: 37,582,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070,414 : 17,415,744 = 17,415,744 : x
  2. Step 2: Convert to fraction form
    8,070,414/17,415,744 = 17,415,744/x
  3. Step 3: Cross multiply
    8,070,414x = 17,415,744 × 17,415,744
  4. Step 4: Simplify right side
    8,070,414x = 303,308,139,073,536
  5. Step 5: Solve for x
    x = 303,308,139,073,536/8,070,414
  6. Step 6: Final answer
    x = 37,582,723.65

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