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Finding the Third Proportional to 32,496,993 and 50,481,292

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Solution

The third proportional to 32,496,993 and 50,481,292 is: 78,418,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,496,993 : 50,481,292 = 50,481,292 : x
  2. Step 2: Convert to fraction form
    32,496,993/50,481,292 = 50,481,292/x
  3. Step 3: Cross multiply
    32,496,993x = 50,481,292 × 50,481,292
  4. Step 4: Simplify right side
    32,496,993x = 2,548,360,841,989,264
  5. Step 5: Solve for x
    x = 2,548,360,841,989,264/32,496,993
  6. Step 6: Final answer
    x = 78,418,358.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.