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Finding the Third Proportional to 8,303,212 and 17,971,107

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Solution

The third proportional to 8,303,212 and 17,971,107 is: 38,895,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303,212 : 17,971,107 = 17,971,107 : x
  2. Step 2: Convert to fraction form
    8,303,212/17,971,107 = 17,971,107/x
  3. Step 3: Cross multiply
    8,303,212x = 17,971,107 × 17,971,107
  4. Step 4: Simplify right side
    8,303,212x = 322,960,686,805,449
  5. Step 5: Solve for x
    x = 322,960,686,805,449/8,303,212
  6. Step 6: Final answer
    x = 38,895,873.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.