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Finding the Third Proportional to 38,038,464 and 80,995,855.50

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Solution

The third proportional to 38,038,464 and 80,995,855.50 is: 172,465,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,038,464 : 80,995,855.50 = 80,995,855.50 : x
  2. Step 2: Convert to fraction form
    38,038,464/80,995,855.50 = 80,995,855.50/x
  3. Step 3: Cross multiply
    38,038,464x = 80,995,855.50 × 80,995,855.50
  4. Step 4: Simplify right side
    38,038,464x = 6,560,328,608,176,880
  5. Step 5: Solve for x
    x = 6,560,328,608,176,880/38,038,464
  6. Step 6: Final answer
    x = 172,465,654.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.