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Finding the Third Proportional to 9,201,016 and 13,930,464

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Solution

The third proportional to 9,201,016 and 13,930,464 is: 21,090,912.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201,016 : 13,930,464 = 13,930,464 : x
  2. Step 2: Convert to fraction form
    9,201,016/13,930,464 = 13,930,464/x
  3. Step 3: Cross multiply
    9,201,016x = 13,930,464 × 13,930,464
  4. Step 4: Simplify right side
    9,201,016x = 194,057,827,255,296
  5. Step 5: Solve for x
    x = 194,057,827,255,296/9,201,016
  6. Step 6: Final answer
    x = 21,090,912.92

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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.