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Finding the Third Proportional to 5,896,886.06 and 12,613,537.69

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Solution

The third proportional to 5,896,886.06 and 12,613,537.69 is: 26,980,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896,886.06 : 12,613,537.69 = 12,613,537.69 : x
  2. Step 2: Convert to fraction form
    5,896,886.06/12,613,537.69 = 12,613,537.69/x
  3. Step 3: Cross multiply
    5,896,886.06x = 12,613,537.69 × 12,613,537.69
  4. Step 4: Simplify right side
    5,896,886.06x = 159,101,332,993,982.84
  5. Step 5: Solve for x
    x = 159,101,332,993,982.84/5,896,886.06
  6. Step 6: Final answer
    x = 26,980,567.59

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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.