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Finding the Third Proportional to 31,038,000 and 73,165,199

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Solution

The third proportional to 31,038,000 and 73,165,199 is: 172,470,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,038,000 : 73,165,199 = 73,165,199 : x
  2. Step 2: Convert to fraction form
    31,038,000/73,165,199 = 73,165,199/x
  3. Step 3: Cross multiply
    31,038,000x = 73,165,199 × 73,165,199
  4. Step 4: Simplify right side
    31,038,000x = 5,353,146,344,709,601
  5. Step 5: Solve for x
    x = 5,353,146,344,709,601/31,038,000
  6. Step 6: Final answer
    x = 172,470,724.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.