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Finding the Third Proportional to 70,853,513,504.63 and 156,149,229,970.12

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Solution

The third proportional to 70,853,513,504.63 and 156,149,229,970.12 is: 344,126,646,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,853,513,504.63 : 156,149,229,970.12 = 156,149,229,970.12 : x
  2. Step 2: Convert to fraction form
    70,853,513,504.63/156,149,229,970.12 = 156,149,229,970.12/x
  3. Step 3: Cross multiply
    70,853,513,504.63x = 156,149,229,970.12 × 156,149,229,970.12
  4. Step 4: Simplify right side
    70,853,513,504.63x = 24,382,582,020,261,420,204,032
  5. Step 5: Solve for x
    x = 24,382,582,020,261,420,204,032/70,853,513,504.63
  6. Step 6: Final answer
    x = 344,126,646,855.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.