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Finding the Third Proportional to 310,472,321 and 630,067,713

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Solution

The third proportional to 310,472,321 and 630,067,713 is: 1,278,649,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,472,321 : 630,067,713 = 630,067,713 : x
  2. Step 2: Convert to fraction form
    310,472,321/630,067,713 = 630,067,713/x
  3. Step 3: Cross multiply
    310,472,321x = 630,067,713 × 630,067,713
  4. Step 4: Simplify right side
    310,472,321x = 396,985,322,965,050,368
  5. Step 5: Solve for x
    x = 396,985,322,965,050,368/310,472,321
  6. Step 6: Final answer
    x = 1,278,649,644.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.