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Finding the Third Proportional to 31,405,024 and 47,264,782

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Solution

The third proportional to 31,405,024 and 47,264,782 is: 71,133,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405,024 : 47,264,782 = 47,264,782 : x
  2. Step 2: Convert to fraction form
    31,405,024/47,264,782 = 47,264,782/x
  3. Step 3: Cross multiply
    31,405,024x = 47,264,782 × 47,264,782
  4. Step 4: Simplify right side
    31,405,024x = 2,233,959,617,507,524
  5. Step 5: Solve for x
    x = 2,233,959,617,507,524/31,405,024
  6. Step 6: Final answer
    x = 71,133,829.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.