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Finding the Third Proportional to 7,867,034 and 11,872,479

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Solution

The third proportional to 7,867,034 and 11,872,479 is: 17,917,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867,034 : 11,872,479 = 11,872,479 : x
  2. Step 2: Convert to fraction form
    7,867,034/11,872,479 = 11,872,479/x
  3. Step 3: Cross multiply
    7,867,034x = 11,872,479 × 11,872,479
  4. Step 4: Simplify right side
    7,867,034x = 140,955,757,605,441
  5. Step 5: Solve for x
    x = 140,955,757,605,441/7,867,034
  6. Step 6: Final answer
    x = 17,917,268.14

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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.