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Finding the Third Proportional to 3,918,724.31 and 5,937,203.81

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Solution

The third proportional to 3,918,724.31 and 5,937,203.81 is: 8,995,373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918,724.31 : 5,937,203.81 = 5,937,203.81 : x
  2. Step 2: Convert to fraction form
    3,918,724.31/5,937,203.81 = 5,937,203.81/x
  3. Step 3: Cross multiply
    3,918,724.31x = 5,937,203.81 × 5,937,203.81
  4. Step 4: Simplify right side
    3,918,724.31x = 35,250,389,111,164.53
  5. Step 5: Solve for x
    x = 35,250,389,111,164.53/3,918,724.31
  6. Step 6: Final answer
    x = 8,995,373.57

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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.