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Finding the Third Proportional to 31,684,979.25 and 67,917,359.25

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Solution

The third proportional to 31,684,979.25 and 67,917,359.25 is: 145,582,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,684,979.25 : 67,917,359.25 = 67,917,359.25 : x
  2. Step 2: Convert to fraction form
    31,684,979.25/67,917,359.25 = 67,917,359.25/x
  3. Step 3: Cross multiply
    31,684,979.25x = 67,917,359.25 × 67,917,359.25
  4. Step 4: Simplify right side
    31,684,979.25x = 4,612,767,687,493,561
  5. Step 5: Solve for x
    x = 4,612,767,687,493,561/31,684,979.25
  6. Step 6: Final answer
    x = 145,582,159.01

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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.