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Finding the Third Proportional to 38,378,698 and 83,134,692

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Solution

The third proportional to 38,378,698 and 83,134,692 is: 180,083,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,378,698 : 83,134,692 = 83,134,692 : x
  2. Step 2: Convert to fraction form
    38,378,698/83,134,692 = 83,134,692/x
  3. Step 3: Cross multiply
    38,378,698x = 83,134,692 × 83,134,692
  4. Step 4: Simplify right side
    38,378,698x = 6,911,377,013,934,864
  5. Step 5: Solve for x
    x = 6,911,377,013,934,864/38,378,698
  6. Step 6: Final answer
    x = 180,083,675.95

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