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Finding the Third Proportional to 7,867,188 and 11,873,070

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Solution

The third proportional to 7,867,188 and 11,873,070 is: 17,918,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867,188 : 11,873,070 = 11,873,070 : x
  2. Step 2: Convert to fraction form
    7,867,188/11,873,070 = 11,873,070/x
  3. Step 3: Cross multiply
    7,867,188x = 11,873,070 × 11,873,070
  4. Step 4: Simplify right side
    7,867,188x = 140,969,791,224,900
  5. Step 5: Solve for x
    x = 140,969,791,224,900/7,867,188
  6. Step 6: Final answer
    x = 17,918,701.22

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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.