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Finding the Third Proportional to 353,542,236 and 833,397,210

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Solution

The third proportional to 353,542,236 and 833,397,210 is: 1,964,548,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,542,236 : 833,397,210 = 833,397,210 : x
  2. Step 2: Convert to fraction form
    353,542,236/833,397,210 = 833,397,210/x
  3. Step 3: Cross multiply
    353,542,236x = 833,397,210 × 833,397,210
  4. Step 4: Simplify right side
    353,542,236x = 694,550,909,635,784,064
  5. Step 5: Solve for x
    x = 694,550,909,635,784,064/353,542,236
  6. Step 6: Final answer
    x = 1,964,548,613.75

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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.