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Finding the Third Proportional to 2,981,794,647 and 6,487,183,337

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Solution

The third proportional to 2,981,794,647 and 6,487,183,337 is: 14,113,496,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,794,647 : 6,487,183,337 = 6,487,183,337 : x
  2. Step 2: Convert to fraction form
    2,981,794,647/6,487,183,337 = 6,487,183,337/x
  3. Step 3: Cross multiply
    2,981,794,647x = 6,487,183,337 × 6,487,183,337
  4. Step 4: Simplify right side
    2,981,794,647x = 42,083,547,647,850,455,040
  5. Step 5: Solve for x
    x = 42,083,547,647,850,455,040/2,981,794,647
  6. Step 6: Final answer
    x = 14,113,496,276.54

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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.