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Finding the Third Proportional to 38,024,876 and 82,111,312

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Solution

The third proportional to 38,024,876 and 82,111,312 is: 177,312,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024,876 : 82,111,312 = 82,111,312 : x
  2. Step 2: Convert to fraction form
    38,024,876/82,111,312 = 82,111,312/x
  3. Step 3: Cross multiply
    38,024,876x = 82,111,312 × 82,111,312
  4. Step 4: Simplify right side
    38,024,876x = 6,742,267,558,361,344
  5. Step 5: Solve for x
    x = 6,742,267,558,361,344/38,024,876
  6. Step 6: Final answer
    x = 177,312,019.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.