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Finding the Third Proportional to 2,046,814,864 and 3,144,158,016

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Solution

The third proportional to 2,046,814,864 and 3,144,158,016 is: 4,829,811,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,814,864 : 3,144,158,016 = 3,144,158,016 : x
  2. Step 2: Convert to fraction form
    2,046,814,864/3,144,158,016 = 3,144,158,016/x
  3. Step 3: Cross multiply
    2,046,814,864x = 3,144,158,016 × 3,144,158,016
  4. Step 4: Simplify right side
    2,046,814,864x = 9,885,729,629,577,056,256
  5. Step 5: Solve for x
    x = 9,885,729,629,577,056,256/2,046,814,864
  6. Step 6: Final answer
    x = 4,829,811,334.41

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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.