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Finding the Third Proportional to 6,093,671.13 and 12,400,157.11

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Solution

The third proportional to 6,093,671.13 and 12,400,157.11 is: 25,233,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093,671.13 : 12,400,157.11 = 12,400,157.11 : x
  2. Step 2: Convert to fraction form
    6,093,671.13/12,400,157.11 = 12,400,157.11/x
  3. Step 3: Cross multiply
    6,093,671.13x = 12,400,157.11 × 12,400,157.11
  4. Step 4: Simplify right side
    6,093,671.13x = 153,763,896,337,183.34
  5. Step 5: Solve for x
    x = 153,763,896,337,183.34/6,093,671.13
  6. Step 6: Final answer
    x = 25,233,376.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.