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Finding the Third Proportional to 5,301,865.13 and 8,159,469.19

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Solution

The third proportional to 5,301,865.13 and 8,159,469.19 is: 12,557,267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301,865.13 : 8,159,469.19 = 8,159,469.19 : x
  2. Step 2: Convert to fraction form
    5,301,865.13/8,159,469.19 = 8,159,469.19/x
  3. Step 3: Cross multiply
    5,301,865.13x = 8,159,469.19 × 8,159,469.19
  4. Step 4: Simplify right side
    5,301,865.13x = 66,576,937,421,761.91
  5. Step 5: Solve for x
    x = 66,576,937,421,761.91/5,301,865.13
  6. Step 6: Final answer
    x = 12,557,267.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.