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Finding the Third Proportional to 19,929,403.13 and 32,542,642.69

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Solution

The third proportional to 19,929,403.13 and 32,542,642.69 is: 53,138,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,929,403.13 : 32,542,642.69 = 32,542,642.69 : x
  2. Step 2: Convert to fraction form
    19,929,403.13/32,542,642.69 = 32,542,642.69/x
  3. Step 3: Cross multiply
    19,929,403.13x = 32,542,642.69 × 32,542,642.69
  4. Step 4: Simplify right side
    19,929,403.13x = 1,059,023,593,086,297.25
  5. Step 5: Solve for x
    x = 1,059,023,593,086,297.25/19,929,403.13
  6. Step 6: Final answer
    x = 53,138,751.14

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.