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Finding the Third Proportional to 454,869,469.50 and 650,019,007.50

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Solution

The third proportional to 454,869,469.50 and 650,019,007.50 is: 928,892,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,869,469.50 : 650,019,007.50 = 650,019,007.50 : x
  2. Step 2: Convert to fraction form
    454,869,469.50/650,019,007.50 = 650,019,007.50/x
  3. Step 3: Cross multiply
    454,869,469.50x = 650,019,007.50 × 650,019,007.50
  4. Step 4: Simplify right side
    454,869,469.50x = 422,524,710,111,285,056
  5. Step 5: Solve for x
    x = 422,524,710,111,285,056/454,869,469.50
  6. Step 6: Final answer
    x = 928,892,217.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.