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Finding the Third Proportional to 10,665,076 and 17,174,286

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Solution

The third proportional to 10,665,076 and 17,174,286 is: 27,656,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665,076 : 17,174,286 = 17,174,286 : x
  2. Step 2: Convert to fraction form
    10,665,076/17,174,286 = 17,174,286/x
  3. Step 3: Cross multiply
    10,665,076x = 17,174,286 × 17,174,286
  4. Step 4: Simplify right side
    10,665,076x = 294,956,099,609,796
  5. Step 5: Solve for x
    x = 294,956,099,609,796/10,665,076
  6. Step 6: Final answer
    x = 27,656,258.58

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.