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Finding the Third Proportional to 30,486,544 and 65,393,743

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Solution

The third proportional to 30,486,544 and 65,393,743 is: 140,269,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486,544 : 65,393,743 = 65,393,743 : x
  2. Step 2: Convert to fraction form
    30,486,544/65,393,743 = 65,393,743/x
  3. Step 3: Cross multiply
    30,486,544x = 65,393,743 × 65,393,743
  4. Step 4: Simplify right side
    30,486,544x = 4,276,341,623,550,049
  5. Step 5: Solve for x
    x = 4,276,341,623,550,049/30,486,544
  6. Step 6: Final answer
    x = 140,269,806.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.