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Finding the Third Proportional to 3,938,799.66 and 5,989,150.13

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Solution

The third proportional to 3,938,799.66 and 5,989,150.13 is: 9,106,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938,799.66 : 5,989,150.13 = 5,989,150.13 : x
  2. Step 2: Convert to fraction form
    3,938,799.66/5,989,150.13 = 5,989,150.13/x
  3. Step 3: Cross multiply
    3,938,799.66x = 5,989,150.13 × 5,989,150.13
  4. Step 4: Simplify right side
    3,938,799.66x = 35,869,919,219,787.52
  5. Step 5: Solve for x
    x = 35,869,919,219,787.52/3,938,799.66
  6. Step 6: Final answer
    x = 9,106,814.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.