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Finding the Third Proportional to 38,378,682 and 83,134,656

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Solution

The third proportional to 38,378,682 and 83,134,656 is: 180,083,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,378,682 : 83,134,656 = 83,134,656 : x
  2. Step 2: Convert to fraction form
    38,378,682/83,134,656 = 83,134,656/x
  3. Step 3: Cross multiply
    38,378,682x = 83,134,656 × 83,134,656
  4. Step 4: Simplify right side
    38,378,682x = 6,911,371,028,238,336
  5. Step 5: Solve for x
    x = 6,911,371,028,238,336/38,378,682
  6. Step 6: Final answer
    x = 180,083,595.06

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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.