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Finding the Third Proportional to 2,289,257,478 and 4,958,827,965

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Solution

The third proportional to 2,289,257,478 and 4,958,827,965 is: 10,741,463,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,257,478 : 4,958,827,965 = 4,958,827,965 : x
  2. Step 2: Convert to fraction form
    2,289,257,478/4,958,827,965 = 4,958,827,965/x
  3. Step 3: Cross multiply
    2,289,257,478x = 4,958,827,965 × 4,958,827,965
  4. Step 4: Simplify right side
    2,289,257,478x = 24,589,974,786,466,041,856
  5. Step 5: Solve for x
    x = 24,589,974,786,466,041,856/2,289,257,478
  6. Step 6: Final answer
    x = 10,741,463,126.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.