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Finding the Third Proportional to 38,580,772 and 83,219,184

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Solution

The third proportional to 38,580,772 and 83,219,184 is: 179,504,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580,772 : 83,219,184 = 83,219,184 : x
  2. Step 2: Convert to fraction form
    38,580,772/83,219,184 = 83,219,184/x
  3. Step 3: Cross multiply
    38,580,772x = 83,219,184 × 83,219,184
  4. Step 4: Simplify right side
    38,580,772x = 6,925,432,585,625,856
  5. Step 5: Solve for x
    x = 6,925,432,585,625,856/38,580,772
  6. Step 6: Final answer
    x = 179,504,769.52

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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.