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Finding the Third Proportional to 4,611,759,140,177 and 9,605,230,781,732

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Solution

The third proportional to 4,611,759,140,177 and 9,605,230,781,732 is: 20,005,480,677,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611,759,140,177 : 9,605,230,781,732 = 9,605,230,781,732 : x
  2. Step 2: Convert to fraction form
    4,611,759,140,177/9,605,230,781,732 = 9,605,230,781,732/x
  3. Step 3: Cross multiply
    4,611,759,140,177x = 9,605,230,781,732 × 9,605,230,781,732
  4. Step 4: Simplify right side
    4,611,759,140,177x = 92,260,458,370,331,934,025,842,688
  5. Step 5: Solve for x
    x = 92,260,458,370,331,934,025,842,688/4,611,759,140,177
  6. Step 6: Final answer
    x = 20,005,480,677,985.05

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1.5x scale

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.