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Finding the Third Proportional to 300,019,069.13 and 450,827,358.19

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Solution

The third proportional to 300,019,069.13 and 450,827,358.19 is: 677,441,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,019,069.13 : 450,827,358.19 = 450,827,358.19 : x
  2. Step 2: Convert to fraction form
    300,019,069.13/450,827,358.19 = 450,827,358.19/x
  3. Step 3: Cross multiply
    300,019,069.13x = 450,827,358.19 × 450,827,358.19
  4. Step 4: Simplify right side
    300,019,069.13x = 203,245,306,890,320,416
  5. Step 5: Solve for x
    x = 203,245,306,890,320,416/300,019,069.13
  6. Step 6: Final answer
    x = 677,441,295.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.