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Finding the Third Proportional to 7,867,036 and 11,872,482

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Solution

The third proportional to 7,867,036 and 11,872,482 is: 17,917,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867,036 : 11,872,482 = 11,872,482 : x
  2. Step 2: Convert to fraction form
    7,867,036/11,872,482 = 11,872,482/x
  3. Step 3: Cross multiply
    7,867,036x = 11,872,482 × 11,872,482
  4. Step 4: Simplify right side
    7,867,036x = 140,955,828,840,324
  5. Step 5: Solve for x
    x = 140,955,828,840,324/7,867,036
  6. Step 6: Final answer
    x = 17,917,272.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.