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Finding the Third Proportional to 29,834,509.13 and 44,568,023.63

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Solution

The third proportional to 29,834,509.13 and 44,568,023.63 is: 66,577,556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834,509.13 : 44,568,023.63 = 44,568,023.63 : x
  2. Step 2: Convert to fraction form
    29,834,509.13/44,568,023.63 = 44,568,023.63/x
  3. Step 3: Cross multiply
    29,834,509.13x = 44,568,023.63 × 44,568,023.63
  4. Step 4: Simplify right side
    29,834,509.13x = 1,986,308,729,838,558.25
  5. Step 5: Solve for x
    x = 1,986,308,729,838,558.25/29,834,509.13
  6. Step 6: Final answer
    x = 66,577,556.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.