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Finding the Third Proportional to 9,909,033 and 13,954,188

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Solution

The third proportional to 9,909,033 and 13,954,188 is: 19,650,692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909,033 : 13,954,188 = 13,954,188 : x
  2. Step 2: Convert to fraction form
    9,909,033/13,954,188 = 13,954,188/x
  3. Step 3: Cross multiply
    9,909,033x = 13,954,188 × 13,954,188
  4. Step 4: Simplify right side
    9,909,033x = 194,719,362,739,344
  5. Step 5: Solve for x
    x = 194,719,362,739,344/9,909,033
  6. Step 6: Final answer
    x = 19,650,692.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.