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Finding the Third Proportional to 9,080,461 and 19,538,571

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Solution

The third proportional to 9,080,461 and 19,538,571 is: 42,041,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,080,461 : 19,538,571 = 19,538,571 : x
  2. Step 2: Convert to fraction form
    9,080,461/19,538,571 = 19,538,571/x
  3. Step 3: Cross multiply
    9,080,461x = 19,538,571 × 19,538,571
  4. Step 4: Simplify right side
    9,080,461x = 381,755,756,722,041
  5. Step 5: Solve for x
    x = 381,755,756,722,041/9,080,461
  6. Step 6: Final answer
    x = 42,041,451.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.