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Finding the Third Proportional to 5,748,686 and 12,517,972

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Solution

The third proportional to 5,748,686 and 12,517,972 is: 27,258,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748,686 : 12,517,972 = 12,517,972 : x
  2. Step 2: Convert to fraction form
    5,748,686/12,517,972 = 12,517,972/x
  3. Step 3: Cross multiply
    5,748,686x = 12,517,972 × 12,517,972
  4. Step 4: Simplify right side
    5,748,686x = 156,699,622,992,784
  5. Step 5: Solve for x
    x = 156,699,622,992,784/5,748,686
  6. Step 6: Final answer
    x = 27,258,337.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.