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Finding the Third Proportional to 2,996,108 and 6,471,060

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Solution

The third proportional to 2,996,108 and 6,471,060 is: 13,976,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996,108 : 6,471,060 = 6,471,060 : x
  2. Step 2: Convert to fraction form
    2,996,108/6,471,060 = 6,471,060/x
  3. Step 3: Cross multiply
    2,996,108x = 6,471,060 × 6,471,060
  4. Step 4: Simplify right side
    2,996,108x = 41,874,617,523,600
  5. Step 5: Solve for x
    x = 41,874,617,523,600/2,996,108
  6. Step 6: Final answer
    x = 13,976,337.81

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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.