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Finding the Third Proportional to 952,784,391.75 and 2,063,855,311.50

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Solution

The third proportional to 952,784,391.75 and 2,063,855,311.50 is: 4,470,579,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,784,391.75 : 2,063,855,311.50 = 2,063,855,311.50 : x
  2. Step 2: Convert to fraction form
    952,784,391.75/2,063,855,311.50 = 2,063,855,311.50/x
  3. Step 3: Cross multiply
    952,784,391.75x = 2,063,855,311.50 × 2,063,855,311.50
  4. Step 4: Simplify right side
    952,784,391.75x = 4,259,498,746,806,761,984
  5. Step 5: Solve for x
    x = 4,259,498,746,806,761,984/952,784,391.75
  6. Step 6: Final answer
    x = 4,470,579,895.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.