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Finding the Third Proportional to 4,016,280,216 and 8,677,906,926

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Solution

The third proportional to 4,016,280,216 and 8,677,906,926 is: 18,750,202,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016,280,216 : 8,677,906,926 = 8,677,906,926 : x
  2. Step 2: Convert to fraction form
    4,016,280,216/8,677,906,926 = 8,677,906,926/x
  3. Step 3: Cross multiply
    4,016,280,216x = 8,677,906,926 × 8,677,906,926
  4. Step 4: Simplify right side
    4,016,280,216x = 75,306,068,616,318,763,008
  5. Step 5: Solve for x
    x = 75,306,068,616,318,763,008/4,016,280,216
  6. Step 6: Final answer
    x = 18,750,202,816.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.