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Finding the Third Proportional to 4,016,280,213 and 8,677,906,920

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Solution

The third proportional to 4,016,280,213 and 8,677,906,920 is: 18,750,202,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016,280,213 : 8,677,906,920 = 8,677,906,920 : x
  2. Step 2: Convert to fraction form
    4,016,280,213/8,677,906,920 = 8,677,906,920/x
  3. Step 3: Cross multiply
    4,016,280,213x = 8,677,906,920 × 8,677,906,920
  4. Step 4: Simplify right side
    4,016,280,213x = 75,306,068,512,183,894,016
  5. Step 5: Solve for x
    x = 75,306,068,512,183,894,016/4,016,280,213
  6. Step 6: Final answer
    x = 18,750,202,804.18

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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.