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Finding the Third Proportional to 3,091,743 and 6,641,298

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Solution

The third proportional to 3,091,743 and 6,641,298 is: 14,266,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091,743 : 6,641,298 = 6,641,298 : x
  2. Step 2: Convert to fraction form
    3,091,743/6,641,298 = 6,641,298/x
  3. Step 3: Cross multiply
    3,091,743x = 6,641,298 × 6,641,298
  4. Step 4: Simplify right side
    3,091,743x = 44,106,839,124,804
  5. Step 5: Solve for x
    x = 44,106,839,124,804/3,091,743
  6. Step 6: Final answer
    x = 14,266,010.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.