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Finding the Third Proportional to 7,947,298.13 and 17,164,963.13

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Solution

The third proportional to 7,947,298.13 and 17,164,963.13 is: 37,073,726.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947,298.13 : 17,164,963.13 = 17,164,963.13 : x
  2. Step 2: Convert to fraction form
    7,947,298.13/17,164,963.13 = 17,164,963.13/x
  3. Step 3: Cross multiply
    7,947,298.13x = 17,164,963.13 × 17,164,963.13
  4. Step 4: Simplify right side
    7,947,298.13x = 294,635,959,082,609.75
  5. Step 5: Solve for x
    x = 294,635,959,082,609.75/7,947,298.13
  6. Step 6: Final answer
    x = 37,073,726.75

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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.