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Finding the Third Proportional to 2,463,913,216 and 5,478,716,288

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Solution

The third proportional to 2,463,913,216 and 5,478,716,288 is: 12,182,382,061.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463,913,216 : 5,478,716,288 = 5,478,716,288 : x
  2. Step 2: Convert to fraction form
    2,463,913,216/5,478,716,288 = 5,478,716,288/x
  3. Step 3: Cross multiply
    2,463,913,216x = 5,478,716,288 × 5,478,716,288
  4. Step 4: Simplify right side
    2,463,913,216x = 30,016,332,164,396,498,944
  5. Step 5: Solve for x
    x = 30,016,332,164,396,498,944/2,463,913,216
  6. Step 6: Final answer
    x = 12,182,382,061.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.