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Finding the Third Proportional to 2,996,142 and 6,471,126

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Solution

The third proportional to 2,996,142 and 6,471,126 is: 13,976,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996,142 : 6,471,126 = 6,471,126 : x
  2. Step 2: Convert to fraction form
    2,996,142/6,471,126 = 6,471,126/x
  3. Step 3: Cross multiply
    2,996,142x = 6,471,126 × 6,471,126
  4. Step 4: Simplify right side
    2,996,142x = 41,875,471,707,876
  5. Step 5: Solve for x
    x = 41,875,471,707,876/2,996,142
  6. Step 6: Final answer
    x = 13,976,464.30

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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.