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Finding the Third Proportional to 14,656,091 and 31,324,838

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Solution

The third proportional to 14,656,091 and 31,324,838 is: 66,951,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656,091 : 31,324,838 = 31,324,838 : x
  2. Step 2: Convert to fraction form
    14,656,091/31,324,838 = 31,324,838/x
  3. Step 3: Cross multiply
    14,656,091x = 31,324,838 × 31,324,838
  4. Step 4: Simplify right side
    14,656,091x = 981,245,475,726,244
  5. Step 5: Solve for x
    x = 981,245,475,726,244/14,656,091
  6. Step 6: Final answer
    x = 66,951,377.13

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Why These Related Problems?

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