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Finding the Third Proportional to 6,838,110 and 10,827,972

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Solution

The third proportional to 6,838,110 and 10,827,972 is: 17,145,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838,110 : 10,827,972 = 10,827,972 : x
  2. Step 2: Convert to fraction form
    6,838,110/10,827,972 = 10,827,972/x
  3. Step 3: Cross multiply
    6,838,110x = 10,827,972 × 10,827,972
  4. Step 4: Simplify right side
    6,838,110x = 117,244,977,632,784
  5. Step 5: Solve for x
    x = 117,244,977,632,784/6,838,110
  6. Step 6: Final answer
    x = 17,145,816.26

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