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Finding the Third Proportional to 4,336,677,806,667 and 6,560,792,328,687

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Solution

The third proportional to 4,336,677,806,667 and 6,560,792,328,687 is: 9,925,569,271,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336,677,806,667 : 6,560,792,328,687 = 6,560,792,328,687 : x
  2. Step 2: Convert to fraction form
    4,336,677,806,667/6,560,792,328,687 = 6,560,792,328,687/x
  3. Step 3: Cross multiply
    4,336,677,806,667x = 6,560,792,328,687 × 6,560,792,328,687
  4. Step 4: Simplify right side
    4,336,677,806,667x = 43,043,995,980,158,188,721,799,168
  5. Step 5: Solve for x
    x = 43,043,995,980,158,188,721,799,168/4,336,677,806,667
  6. Step 6: Final answer
    x = 9,925,569,271,940.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.