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Finding the Third Proportional to 2,910,847,786 and 6,331,706,224

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Solution

The third proportional to 2,910,847,786 and 6,331,706,224 is: 13,772,792,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910,847,786 : 6,331,706,224 = 6,331,706,224 : x
  2. Step 2: Convert to fraction form
    2,910,847,786/6,331,706,224 = 6,331,706,224/x
  3. Step 3: Cross multiply
    2,910,847,786x = 6,331,706,224 × 6,331,706,224
  4. Step 4: Simplify right side
    2,910,847,786x = 40,090,503,707,040,342,016
  5. Step 5: Solve for x
    x = 40,090,503,707,040,342,016/2,910,847,786
  6. Step 6: Final answer
    x = 13,772,792,895.55

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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.