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Finding the Third Proportional to 4,611,759,140,173 and 9,605,230,781,724

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Solution

The third proportional to 4,611,759,140,173 and 9,605,230,781,724 is: 20,005,480,677,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611,759,140,173 : 9,605,230,781,724 = 9,605,230,781,724 : x
  2. Step 2: Convert to fraction form
    4,611,759,140,173/9,605,230,781,724 = 9,605,230,781,724/x
  3. Step 3: Cross multiply
    4,611,759,140,173x = 9,605,230,781,724 × 9,605,230,781,724
  4. Step 4: Simplify right side
    4,611,759,140,173x = 92,260,458,370,178,242,916,122,624
  5. Step 5: Solve for x
    x = 92,260,458,370,178,242,916,122,624/4,611,759,140,173
  6. Step 6: Final answer
    x = 20,005,480,677,969.08

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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.