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Finding the Third Proportional to 6,734,211 and 14,728,134

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Solution

The third proportional to 6,734,211 and 14,728,134 is: 32,211,335.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734,211 : 14,728,134 = 14,728,134 : x
  2. Step 2: Convert to fraction form
    6,734,211/14,728,134 = 14,728,134/x
  3. Step 3: Cross multiply
    6,734,211x = 14,728,134 × 14,728,134
  4. Step 4: Simplify right side
    6,734,211x = 216,917,931,121,956
  5. Step 5: Solve for x
    x = 216,917,931,121,956/6,734,211
  6. Step 6: Final answer
    x = 32,211,335.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.