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Finding the Third Proportional to 4,611,759,140,178 and 9,605,230,781,733

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Solution

The third proportional to 4,611,759,140,178 and 9,605,230,781,733 is: 20,005,480,677,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611,759,140,178 : 9,605,230,781,733 = 9,605,230,781,733 : x
  2. Step 2: Convert to fraction form
    4,611,759,140,178/9,605,230,781,733 = 9,605,230,781,733/x
  3. Step 3: Cross multiply
    4,611,759,140,178x = 9,605,230,781,733 × 9,605,230,781,733
  4. Step 4: Simplify right side
    4,611,759,140,178x = 92,260,458,370,351,141,119,590,400
  5. Step 5: Solve for x
    x = 92,260,458,370,351,141,119,590,400/4,611,759,140,178
  6. Step 6: Final answer
    x = 20,005,480,677,984.88

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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.