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Finding the Third Proportional to 5,687,878.22 and 8,048,175.19

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Solution

The third proportional to 5,687,878.22 and 8,048,175.19 is: 11,387,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687,878.22 : 8,048,175.19 = 8,048,175.19 : x
  2. Step 2: Convert to fraction form
    5,687,878.22/8,048,175.19 = 8,048,175.19/x
  3. Step 3: Cross multiply
    5,687,878.22x = 8,048,175.19 × 8,048,175.19
  4. Step 4: Simplify right side
    5,687,878.22x = 64,773,123,848,690.66
  5. Step 5: Solve for x
    x = 64,773,123,848,690.66/5,687,878.22
  6. Step 6: Final answer
    x = 11,387,923.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.