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Finding the Third Proportional to 2,513,207,944 and 4,049,447,477

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Solution

The third proportional to 2,513,207,944 and 4,049,447,477 is: 6,524,738,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513,207,944 : 4,049,447,477 = 4,049,447,477 : x
  2. Step 2: Convert to fraction form
    2,513,207,944/4,049,447,477 = 4,049,447,477/x
  3. Step 3: Cross multiply
    2,513,207,944x = 4,049,447,477 × 4,049,447,477
  4. Step 4: Simplify right side
    2,513,207,944x = 16,398,024,868,981,665,792
  5. Step 5: Solve for x
    x = 16,398,024,868,981,665,792/2,513,207,944
  6. Step 6: Final answer
    x = 6,524,738,594.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.