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Finding the Third Proportional to 27,682,566 and 60,578,460

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Solution

The third proportional to 27,682,566 and 60,578,460 is: 132,565,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682,566 : 60,578,460 = 60,578,460 : x
  2. Step 2: Convert to fraction form
    27,682,566/60,578,460 = 60,578,460/x
  3. Step 3: Cross multiply
    27,682,566x = 60,578,460 × 60,578,460
  4. Step 4: Simplify right side
    27,682,566x = 3,669,749,815,971,600
  5. Step 5: Solve for x
    x = 3,669,749,815,971,600/27,682,566
  6. Step 6: Final answer
    x = 132,565,377.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.