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Finding the Third Proportional to 8,185,899 and 17,824,056

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Solution

The third proportional to 8,185,899 and 17,824,056 is: 38,810,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185,899 : 17,824,056 = 17,824,056 : x
  2. Step 2: Convert to fraction form
    8,185,899/17,824,056 = 17,824,056/x
  3. Step 3: Cross multiply
    8,185,899x = 17,824,056 × 17,824,056
  4. Step 4: Simplify right side
    8,185,899x = 317,696,972,291,136
  5. Step 5: Solve for x
    x = 317,696,972,291,136/8,185,899
  6. Step 6: Final answer
    x = 38,810,272.68

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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.