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Finding the Third Proportional to 21,711,733,808 and 47,268,073,324

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Solution

The third proportional to 21,711,733,808 and 47,268,073,324 is: 102,906,141,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711,733,808 : 47,268,073,324 = 47,268,073,324 : x
  2. Step 2: Convert to fraction form
    21,711,733,808/47,268,073,324 = 47,268,073,324/x
  3. Step 3: Cross multiply
    21,711,733,808x = 47,268,073,324 × 47,268,073,324
  4. Step 4: Simplify right side
    21,711,733,808x = 2,234,270,755,763,040,288,768
  5. Step 5: Solve for x
    x = 2,234,270,755,763,040,288,768/21,711,733,808
  6. Step 6: Final answer
    x = 102,906,141,698.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.