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Finding the Third Proportional to 38,869,137 and 85,060,386

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Solution

The third proportional to 38,869,137 and 85,060,386 is: 186,144,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,869,137 : 85,060,386 = 85,060,386 : x
  2. Step 2: Convert to fraction form
    38,869,137/85,060,386 = 85,060,386/x
  3. Step 3: Cross multiply
    38,869,137x = 85,060,386 × 85,060,386
  4. Step 4: Simplify right side
    38,869,137x = 7,235,269,266,468,996
  5. Step 5: Solve for x
    x = 7,235,269,266,468,996/38,869,137
  6. Step 6: Final answer
    x = 186,144,324.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.