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Finding the Third Proportional to 7,129,714 and 14,846,948

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Solution

The third proportional to 7,129,714 and 14,846,948 is: 30,917,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129,714 : 14,846,948 = 14,846,948 : x
  2. Step 2: Convert to fraction form
    7,129,714/14,846,948 = 14,846,948/x
  3. Step 3: Cross multiply
    7,129,714x = 14,846,948 × 14,846,948
  4. Step 4: Simplify right side
    7,129,714x = 220,431,864,914,704
  5. Step 5: Solve for x
    x = 220,431,864,914,704/7,129,714
  6. Step 6: Final answer
    x = 30,917,350.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.