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Finding the Third Proportional to 6,766,496 and 14,589,288

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Solution

The third proportional to 6,766,496 and 14,589,288 is: 31,456,062.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766,496 : 14,589,288 = 14,589,288 : x
  2. Step 2: Convert to fraction form
    6,766,496/14,589,288 = 14,589,288/x
  3. Step 3: Cross multiply
    6,766,496x = 14,589,288 × 14,589,288
  4. Step 4: Simplify right side
    6,766,496x = 212,847,324,346,944
  5. Step 5: Solve for x
    x = 212,847,324,346,944/6,766,496
  6. Step 6: Final answer
    x = 31,456,062.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.