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Finding the Third Proportional to 8,092,024.31 and 17,338,271.06

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Solution

The third proportional to 8,092,024.31 and 17,338,271.06 is: 37,149,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092,024.31 : 17,338,271.06 = 17,338,271.06 : x
  2. Step 2: Convert to fraction form
    8,092,024.31/17,338,271.06 = 17,338,271.06/x
  3. Step 3: Cross multiply
    8,092,024.31x = 17,338,271.06 × 17,338,271.06
  4. Step 4: Simplify right side
    8,092,024.31x = 300,615,643,436,724.88
  5. Step 5: Solve for x
    x = 300,615,643,436,724.88/8,092,024.31
  6. Step 6: Final answer
    x = 37,149,621.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.