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Finding the Third Proportional to 284,674,652 and 621,548,620

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Solution

The third proportional to 284,674,652 and 621,548,620 is: 1,357,067,390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,674,652 : 621,548,620 = 621,548,620 : x
  2. Step 2: Convert to fraction form
    284,674,652/621,548,620 = 621,548,620/x
  3. Step 3: Cross multiply
    284,674,652x = 621,548,620 × 621,548,620
  4. Step 4: Simplify right side
    284,674,652x = 386,322,687,023,904,384
  5. Step 5: Solve for x
    x = 386,322,687,023,904,384/284,674,652
  6. Step 6: Final answer
    x = 1,357,067,390.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.