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Finding the Third Proportional to 30,677,452 and 48,837,540

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Solution

The third proportional to 30,677,452 and 48,837,540 is: 77,747,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677,452 : 48,837,540 = 48,837,540 : x
  2. Step 2: Convert to fraction form
    30,677,452/48,837,540 = 48,837,540/x
  3. Step 3: Cross multiply
    30,677,452x = 48,837,540 × 48,837,540
  4. Step 4: Simplify right side
    30,677,452x = 2,385,105,313,251,600
  5. Step 5: Solve for x
    x = 2,385,105,313,251,600/30,677,452
  6. Step 6: Final answer
    x = 77,747,829.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.