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Finding the Third Proportional to 6,838,107.75 and 10,827,969.75

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Solution

The third proportional to 6,838,107.75 and 10,827,969.75 is: 17,145,814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838,107.75 : 10,827,969.75 = 10,827,969.75 : x
  2. Step 2: Convert to fraction form
    6,838,107.75/10,827,969.75 = 10,827,969.75/x
  3. Step 3: Cross multiply
    6,838,107.75x = 10,827,969.75 × 10,827,969.75
  4. Step 4: Simplify right side
    6,838,107.75x = 117,244,928,906,915.06
  5. Step 5: Solve for x
    x = 117,244,928,906,915.06/6,838,107.75
  6. Step 6: Final answer
    x = 17,145,814.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.