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Finding the Third Proportional to 2,661,899,502 and 4,138,010,811

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Solution

The third proportional to 2,661,899,502 and 4,138,010,811 is: 6,432,674,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661,899,502 : 4,138,010,811 = 4,138,010,811 : x
  2. Step 2: Convert to fraction form
    2,661,899,502/4,138,010,811 = 4,138,010,811/x
  3. Step 3: Cross multiply
    2,661,899,502x = 4,138,010,811 × 4,138,010,811
  4. Step 4: Simplify right side
    2,661,899,502x = 17,123,133,471,952,877,568
  5. Step 5: Solve for x
    x = 17,123,133,471,952,877,568/2,661,899,502
  6. Step 6: Final answer
    x = 6,432,674,659.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.