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Finding the Third Proportional to 5,948,621.44 and 8,026,089.19

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Solution

The third proportional to 5,948,621.44 and 8,026,089.19 is: 10,829,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948,621.44 : 8,026,089.19 = 8,026,089.19 : x
  2. Step 2: Convert to fraction form
    5,948,621.44/8,026,089.19 = 8,026,089.19/x
  3. Step 3: Cross multiply
    5,948,621.44x = 8,026,089.19 × 8,026,089.19
  4. Step 4: Simplify right side
    5,948,621.44x = 64,418,107,645,704.41
  5. Step 5: Solve for x
    x = 64,418,107,645,704.41/5,948,621.44
  6. Step 6: Final answer
    x = 10,829,081.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.