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Finding the Third Proportional to 6,513,882 and 8,684,188

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Solution

The third proportional to 6,513,882 and 8,684,188 is: 11,577,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513,882 : 8,684,188 = 8,684,188 : x
  2. Step 2: Convert to fraction form
    6,513,882/8,684,188 = 8,684,188/x
  3. Step 3: Cross multiply
    6,513,882x = 8,684,188 × 8,684,188
  4. Step 4: Simplify right side
    6,513,882x = 75,415,121,219,344
  5. Step 5: Solve for x
    x = 75,415,121,219,344/6,513,882
  6. Step 6: Final answer
    x = 11,577,600.15

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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.