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Finding the Third Proportional to 5,896,885 and 12,613,538

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Solution

The third proportional to 5,896,885 and 12,613,538 is: 26,980,573.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896,885 : 12,613,538 = 12,613,538 : x
  2. Step 2: Convert to fraction form
    5,896,885/12,613,538 = 12,613,538/x
  3. Step 3: Cross multiply
    5,896,885x = 12,613,538 × 12,613,538
  4. Step 4: Simplify right side
    5,896,885x = 159,101,340,877,444
  5. Step 5: Solve for x
    x = 159,101,340,877,444/5,896,885
  6. Step 6: Final answer
    x = 26,980,573.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.