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Finding the Third Proportional to 3,835,043.75 and 8,201,984.25

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Solution

The third proportional to 3,835,043.75 and 8,201,984.25 is: 17,541,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835,043.75 : 8,201,984.25 = 8,201,984.25 : x
  2. Step 2: Convert to fraction form
    3,835,043.75/8,201,984.25 = 8,201,984.25/x
  3. Step 3: Cross multiply
    3,835,043.75x = 8,201,984.25 × 8,201,984.25
  4. Step 4: Simplify right side
    3,835,043.75x = 67,272,545,637,248.06
  5. Step 5: Solve for x
    x = 67,272,545,637,248.06/3,835,043.75
  6. Step 6: Final answer
    x = 17,541,532.78

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Why These Related Problems?

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