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Finding the Third Proportional to 35,394,168 and 83,433,897

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Solution

The third proportional to 35,394,168 and 83,433,897 is: 196,676,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,394,168 : 83,433,897 = 83,433,897 : x
  2. Step 2: Convert to fraction form
    35,394,168/83,433,897 = 83,433,897/x
  3. Step 3: Cross multiply
    35,394,168x = 83,433,897 × 83,433,897
  4. Step 4: Simplify right side
    35,394,168x = 6,961,215,168,606,609
  5. Step 5: Solve for x
    x = 6,961,215,168,606,609/35,394,168
  6. Step 6: Final answer
    x = 196,676,897.97

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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.