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Finding the Third Proportional to 2,067,444,864 and 4,536,593,514

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Solution

The third proportional to 2,067,444,864 and 4,536,593,514 is: 9,954,645,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067,444,864 : 4,536,593,514 = 4,536,593,514 : x
  2. Step 2: Convert to fraction form
    2,067,444,864/4,536,593,514 = 4,536,593,514/x
  3. Step 3: Cross multiply
    2,067,444,864x = 4,536,593,514 × 4,536,593,514
  4. Step 4: Simplify right side
    2,067,444,864x = 20,580,680,711,266,869,248
  5. Step 5: Solve for x
    x = 20,580,680,711,266,869,248/2,067,444,864
  6. Step 6: Final answer
    x = 9,954,645,499.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.