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Finding the Third Proportional to 666,847,060,074 and 899,733,248,340.75

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Solution

The third proportional to 666,847,060,074 and 899,733,248,340.75 is: 1,213,951,394,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,847,060,074 : 899,733,248,340.75 = 899,733,248,340.75 : x
  2. Step 2: Convert to fraction form
    666,847,060,074/899,733,248,340.75 = 899,733,248,340.75/x
  3. Step 3: Cross multiply
    666,847,060,074x = 899,733,248,340.75 × 899,733,248,340.75
  4. Step 4: Simplify right side
    666,847,060,074x = 809,519,918,169,797,720,801,280
  5. Step 5: Solve for x
    x = 809,519,918,169,797,720,801,280/666,847,060,074
  6. Step 6: Final answer
    x = 1,213,951,394,012.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.