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Finding the Third Proportional to 31,431,476 and 47,264,196

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Solution

The third proportional to 31,431,476 and 47,264,196 is: 71,072,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431,476 : 47,264,196 = 47,264,196 : x
  2. Step 2: Convert to fraction form
    31,431,476/47,264,196 = 47,264,196/x
  3. Step 3: Cross multiply
    31,431,476x = 47,264,196 × 47,264,196
  4. Step 4: Simplify right side
    31,431,476x = 2,233,904,223,526,416
  5. Step 5: Solve for x
    x = 2,233,904,223,526,416/31,431,476
  6. Step 6: Final answer
    x = 71,072,202.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.