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Finding the Third Proportional to 561,586,732.50 and 1,252,225,176

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Solution

The third proportional to 561,586,732.50 and 1,252,225,176 is: 2,792,209,645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,586,732.50 : 1,252,225,176 = 1,252,225,176 : x
  2. Step 2: Convert to fraction form
    561,586,732.50/1,252,225,176 = 1,252,225,176/x
  3. Step 3: Cross multiply
    561,586,732.50x = 1,252,225,176 × 1,252,225,176
  4. Step 4: Simplify right side
    561,586,732.50x = 1,568,067,891,408,230,912
  5. Step 5: Solve for x
    x = 1,568,067,891,408,230,912/561,586,732.50
  6. Step 6: Final answer
    x = 2,792,209,645.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.