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Finding the Third Proportional to 2,782,257,805.13 and 6,000,351,345

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Solution

The third proportional to 2,782,257,805.13 and 6,000,351,345 is: 12,940,647,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,257,805.13 : 6,000,351,345 = 6,000,351,345 : x
  2. Step 2: Convert to fraction form
    2,782,257,805.13/6,000,351,345 = 6,000,351,345/x
  3. Step 3: Cross multiply
    2,782,257,805.13x = 6,000,351,345 × 6,000,351,345
  4. Step 4: Simplify right side
    2,782,257,805.13x = 36,004,216,263,443,308,544
  5. Step 5: Solve for x
    x = 36,004,216,263,443,308,544/2,782,257,805.13
  6. Step 6: Final answer
    x = 12,940,647,051.87

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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.