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Finding the Third Proportional to 19,687,438.13 and 30,813,468.19

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Solution

The third proportional to 19,687,438.13 and 30,813,468.19 is: 48,227,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687,438.13 : 30,813,468.19 = 30,813,468.19 : x
  2. Step 2: Convert to fraction form
    19,687,438.13/30,813,468.19 = 30,813,468.19/x
  3. Step 3: Cross multiply
    19,687,438.13x = 30,813,468.19 × 30,813,468.19
  4. Step 4: Simplify right side
    19,687,438.13x = 949,469,821,742,074.50
  5. Step 5: Solve for x
    x = 949,469,821,742,074.50/19,687,438.13
  6. Step 6: Final answer
    x = 48,227,190.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.