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Finding the Third Proportional to 12,767,077.13 and 20,324,855.81

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Solution

The third proportional to 12,767,077.13 and 20,324,855.81 is: 32,356,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767,077.13 : 20,324,855.81 = 20,324,855.81 : x
  2. Step 2: Convert to fraction form
    12,767,077.13/20,324,855.81 = 20,324,855.81/x
  3. Step 3: Cross multiply
    12,767,077.13x = 20,324,855.81 × 20,324,855.81
  4. Step 4: Simplify right side
    12,767,077.13x = 413,099,763,798,915.06
  5. Step 5: Solve for x
    x = 413,099,763,798,915.06/12,767,077.13
  6. Step 6: Final answer
    x = 32,356,643.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.