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Finding the Third Proportional to 6,799,269 and 13,997,106

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Solution

The third proportional to 6,799,269 and 13,997,106 is: 28,814,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799,269 : 13,997,106 = 13,997,106 : x
  2. Step 2: Convert to fraction form
    6,799,269/13,997,106 = 13,997,106/x
  3. Step 3: Cross multiply
    6,799,269x = 13,997,106 × 13,997,106
  4. Step 4: Simplify right side
    6,799,269x = 195,918,976,375,236
  5. Step 5: Solve for x
    x = 195,918,976,375,236/6,799,269
  6. Step 6: Final answer
    x = 28,814,711.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.