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Finding the Third Proportional to 9,871,014 and 14,930,961

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Solution

The third proportional to 9,871,014 and 14,930,961 is: 22,584,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871,014 : 14,930,961 = 14,930,961 : x
  2. Step 2: Convert to fraction form
    9,871,014/14,930,961 = 14,930,961/x
  3. Step 3: Cross multiply
    9,871,014x = 14,930,961 × 14,930,961
  4. Step 4: Simplify right side
    9,871,014x = 222,933,596,383,521
  5. Step 5: Solve for x
    x = 222,933,596,383,521/9,871,014
  6. Step 6: Final answer
    x = 22,584,670.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.