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Finding the Third Proportional to 6,867,102 and 9,154,311

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Solution

The third proportional to 6,867,102 and 9,154,311 is: 12,203,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867,102 : 9,154,311 = 9,154,311 : x
  2. Step 2: Convert to fraction form
    6,867,102/9,154,311 = 9,154,311/x
  3. Step 3: Cross multiply
    6,867,102x = 9,154,311 × 9,154,311
  4. Step 4: Simplify right side
    6,867,102x = 83,801,409,884,721
  5. Step 5: Solve for x
    x = 83,801,409,884,721/6,867,102
  6. Step 6: Final answer
    x = 12,203,315.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.