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Finding the Third Proportional to 38,378,664 and 83,134,620

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Solution

The third proportional to 38,378,664 and 83,134,620 is: 180,083,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,378,664 : 83,134,620 = 83,134,620 : x
  2. Step 2: Convert to fraction form
    38,378,664/83,134,620 = 83,134,620/x
  3. Step 3: Cross multiply
    38,378,664x = 83,134,620 × 83,134,620
  4. Step 4: Simplify right side
    38,378,664x = 6,911,365,042,544,400
  5. Step 5: Solve for x
    x = 6,911,365,042,544,400/38,378,664
  6. Step 6: Final answer
    x = 180,083,523.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.