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Finding the Third Proportional to 4,611,759,141,294 and 9,605,230,783,722

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Solution

The third proportional to 4,611,759,141,294 and 9,605,230,783,722 is: 20,005,480,681,429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611,759,141,294 : 9,605,230,783,722 = 9,605,230,783,722 : x
  2. Step 2: Convert to fraction form
    4,611,759,141,294/9,605,230,783,722 = 9,605,230,783,722/x
  3. Step 3: Cross multiply
    4,611,759,141,294x = 9,605,230,783,722 × 9,605,230,783,722
  4. Step 4: Simplify right side
    4,611,759,141,294x = 92,260,458,408,560,750,732,771,328
  5. Step 5: Solve for x
    x = 92,260,458,408,560,750,732,771,328/4,611,759,141,294
  6. Step 6: Final answer
    x = 20,005,480,681,429.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.