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Finding the Third Proportional to 353,542,491.75 and 833,397,952.25

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Solution

The third proportional to 353,542,491.75 and 833,397,952.25 is: 1,964,550,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,542,491.75 : 833,397,952.25 = 833,397,952.25 : x
  2. Step 2: Convert to fraction form
    353,542,491.75/833,397,952.25 = 833,397,952.25/x
  3. Step 3: Cross multiply
    353,542,491.75x = 833,397,952.25 × 833,397,952.25
  4. Step 4: Simplify right side
    353,542,491.75x = 694,552,146,814,493,312
  5. Step 5: Solve for x
    x = 694,552,146,814,493,312/353,542,491.75
  6. Step 6: Final answer
    x = 1,964,550,691.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.