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Finding the Third Proportional to 431,843,003 and 932,496,478

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Solution

The third proportional to 431,843,003 and 932,496,478 is: 2,013,578,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,843,003 : 932,496,478 = 932,496,478 : x
  2. Step 2: Convert to fraction form
    431,843,003/932,496,478 = 932,496,478/x
  3. Step 3: Cross multiply
    431,843,003x = 932,496,478 × 932,496,478
  4. Step 4: Simplify right side
    431,843,003x = 869,549,681,482,404,480
  5. Step 5: Solve for x
    x = 869,549,681,482,404,480/431,843,003
  6. Step 6: Final answer
    x = 2,013,578,257.47

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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.