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Finding the Third Proportional to 2,955,188.25 and 6,414,805.13

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Solution

The third proportional to 2,955,188.25 and 6,414,805.13 is: 13,924,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955,188.25 : 6,414,805.13 = 6,414,805.13 : x
  2. Step 2: Convert to fraction form
    2,955,188.25/6,414,805.13 = 6,414,805.13/x
  3. Step 3: Cross multiply
    2,955,188.25x = 6,414,805.13 × 6,414,805.13
  4. Step 4: Simplify right side
    2,955,188.25x = 41,149,724,791,726.27
  5. Step 5: Solve for x
    x = 41,149,724,791,726.27/2,955,188.25
  6. Step 6: Final answer
    x = 13,924,569.71

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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.