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Finding the Third Proportional to 3,699,738 and 8,070,021

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Solution

The third proportional to 3,699,738 and 8,070,021 is: 17,602,662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699,738 : 8,070,021 = 8,070,021 : x
  2. Step 2: Convert to fraction form
    3,699,738/8,070,021 = 8,070,021/x
  3. Step 3: Cross multiply
    3,699,738x = 8,070,021 × 8,070,021
  4. Step 4: Simplify right side
    3,699,738x = 65,125,238,940,441
  5. Step 5: Solve for x
    x = 65,125,238,940,441/3,699,738
  6. Step 6: Final answer
    x = 17,602,662.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.