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Finding the Third Proportional to 431,843,001 and 932,496,474

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Solution

The third proportional to 431,843,001 and 932,496,474 is: 2,013,578,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,843,001 : 932,496,474 = 932,496,474 : x
  2. Step 2: Convert to fraction form
    431,843,001/932,496,474 = 932,496,474/x
  3. Step 3: Cross multiply
    431,843,001x = 932,496,474 × 932,496,474
  4. Step 4: Simplify right side
    431,843,001x = 869,549,674,022,432,640
  5. Step 5: Solve for x
    x = 869,549,674,022,432,640/431,843,001
  6. Step 6: Final answer
    x = 2,013,578,249.52

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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.