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Finding the Third Proportional to 853,315,651,002 and 1,232,893,758,240

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Solution

The third proportional to 853,315,651,002 and 1,232,893,758,240 is: 1,781,318,574,577.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,315,651,002 : 1,232,893,758,240 = 1,232,893,758,240 : x
  2. Step 2: Convert to fraction form
    853,315,651,002/1,232,893,758,240 = 1,232,893,758,240/x
  3. Step 3: Cross multiply
    853,315,651,002x = 1,232,893,758,240 × 1,232,893,758,240
  4. Step 4: Simplify right side
    853,315,651,002x = 1,520,027,019,107,151,510,503,424
  5. Step 5: Solve for x
    x = 1,520,027,019,107,151,510,503,424/853,315,651,002
  6. Step 6: Final answer
    x = 1,781,318,574,577.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.