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Finding the Third Proportional to 8,179,461 and 17,722,086.19

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Solution

The third proportional to 8,179,461 and 17,722,086.19 is: 38,397,681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179,461 : 17,722,086.19 = 17,722,086.19 : x
  2. Step 2: Convert to fraction form
    8,179,461/17,722,086.19 = 17,722,086.19/x
  3. Step 3: Cross multiply
    8,179,461x = 17,722,086.19 × 17,722,086.19
  4. Step 4: Simplify right side
    8,179,461x = 314,072,338,837,178.31
  5. Step 5: Solve for x
    x = 314,072,338,837,178.31/8,179,461
  6. Step 6: Final answer
    x = 38,397,681.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.