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Finding the Third Proportional to 2,718,510,626 and 4,194,167,163

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Solution

The third proportional to 2,718,510,626 and 4,194,167,163 is: 6,470,836,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718,510,626 : 4,194,167,163 = 4,194,167,163 : x
  2. Step 2: Convert to fraction form
    2,718,510,626/4,194,167,163 = 4,194,167,163/x
  3. Step 3: Cross multiply
    2,718,510,626x = 4,194,167,163 × 4,194,167,163
  4. Step 4: Simplify right side
    2,718,510,626x = 17,591,038,191,187,468,288
  5. Step 5: Solve for x
    x = 17,591,038,191,187,468,288/2,718,510,626
  6. Step 6: Final answer
    x = 6,470,836,649.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.