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Finding the Third Proportional to 8,385,766 and 17,967,456

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Solution

The third proportional to 8,385,766 and 17,967,456 is: 38,497,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385,766 : 17,967,456 = 17,967,456 : x
  2. Step 2: Convert to fraction form
    8,385,766/17,967,456 = 17,967,456/x
  3. Step 3: Cross multiply
    8,385,766x = 17,967,456 × 17,967,456
  4. Step 4: Simplify right side
    8,385,766x = 322,829,475,111,936
  5. Step 5: Solve for x
    x = 322,829,475,111,936/8,385,766
  6. Step 6: Final answer
    x = 38,497,314.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.