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Finding the Third Proportional to 29,719,656 and 41,065,812

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Solution

The third proportional to 29,719,656 and 41,065,812 is: 56,743,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,719,656 : 41,065,812 = 41,065,812 : x
  2. Step 2: Convert to fraction form
    29,719,656/41,065,812 = 41,065,812/x
  3. Step 3: Cross multiply
    29,719,656x = 41,065,812 × 41,065,812
  4. Step 4: Simplify right side
    29,719,656x = 1,686,400,915,219,344
  5. Step 5: Solve for x
    x = 1,686,400,915,219,344/29,719,656
  6. Step 6: Final answer
    x = 56,743,621.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.