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Finding the Third Proportional to 12,734,793.42 and 19,858,866.19

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Solution

The third proportional to 12,734,793.42 and 19,858,866.19 is: 30,968,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734,793.42 : 19,858,866.19 = 19,858,866.19 : x
  2. Step 2: Convert to fraction form
    12,734,793.42/19,858,866.19 = 19,858,866.19/x
  3. Step 3: Cross multiply
    12,734,793.42x = 19,858,866.19 × 19,858,866.19
  4. Step 4: Simplify right side
    12,734,793.42x = 394,374,566,253,030.81
  5. Step 5: Solve for x
    x = 394,374,566,253,030.81/12,734,793.42
  6. Step 6: Final answer
    x = 30,968,273.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.