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Finding the Third Proportional to 9,182,889 and 13,726,368

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Solution

The third proportional to 9,182,889 and 13,726,368 is: 20,517,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182,889 : 13,726,368 = 13,726,368 : x
  2. Step 2: Convert to fraction form
    9,182,889/13,726,368 = 13,726,368/x
  3. Step 3: Cross multiply
    9,182,889x = 13,726,368 × 13,726,368
  4. Step 4: Simplify right side
    9,182,889x = 188,413,178,471,424
  5. Step 5: Solve for x
    x = 188,413,178,471,424/9,182,889
  6. Step 6: Final answer
    x = 20,517,854.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.