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Finding the Third Proportional to 15,685,710.75 and 23,050,023.19

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Solution

The third proportional to 15,685,710.75 and 23,050,023.19 is: 33,871,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685,710.75 : 23,050,023.19 = 23,050,023.19 : x
  2. Step 2: Convert to fraction form
    15,685,710.75/23,050,023.19 = 23,050,023.19/x
  3. Step 3: Cross multiply
    15,685,710.75x = 23,050,023.19 × 23,050,023.19
  4. Step 4: Simplify right side
    15,685,710.75x = 531,303,568,944,287.69
  5. Step 5: Solve for x
    x = 531,303,568,944,287.69/15,685,710.75
  6. Step 6: Final answer
    x = 33,871,819.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.