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Finding the Third Proportional to 35,394,144 and 83,433,836.25

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Solution

The third proportional to 35,394,144 and 83,433,836.25 is: 196,676,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,394,144 : 83,433,836.25 = 83,433,836.25 : x
  2. Step 2: Convert to fraction form
    35,394,144/83,433,836.25 = 83,433,836.25/x
  3. Step 3: Cross multiply
    35,394,144x = 83,433,836.25 × 83,433,836.25
  4. Step 4: Simplify right side
    35,394,144x = 6,961,205,031,391,814
  5. Step 5: Solve for x
    x = 6,961,205,031,391,814/35,394,144
  6. Step 6: Final answer
    x = 196,676,744.93

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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.