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Finding the Third Proportional to 6,838,104 and 10,827,963

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Solution

The third proportional to 6,838,104 and 10,827,963 is: 17,145,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838,104 : 10,827,963 = 10,827,963 : x
  2. Step 2: Convert to fraction form
    6,838,104/10,827,963 = 10,827,963/x
  3. Step 3: Cross multiply
    6,838,104x = 10,827,963 × 10,827,963
  4. Step 4: Simplify right side
    6,838,104x = 117,244,782,729,369
  5. Step 5: Solve for x
    x = 117,244,782,729,369/6,838,104
  6. Step 6: Final answer
    x = 17,145,802.80

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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.