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Finding the Third Proportional to 8,129,429.16 and 11,035,306.69

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Solution

The third proportional to 8,129,429.16 and 11,035,306.69 is: 14,979,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129,429.16 : 11,035,306.69 = 11,035,306.69 : x
  2. Step 2: Convert to fraction form
    8,129,429.16/11,035,306.69 = 11,035,306.69/x
  3. Step 3: Cross multiply
    8,129,429.16x = 11,035,306.69 × 11,035,306.69
  4. Step 4: Simplify right side
    8,129,429.16x = 121,777,993,687,182.22
  5. Step 5: Solve for x
    x = 121,777,993,687,182.22/8,129,429.16
  6. Step 6: Final answer
    x = 14,979,894.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.