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Finding the Third Proportional to 9,200,960 and 13,930,392

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Solution

The third proportional to 9,200,960 and 13,930,392 is: 21,090,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200,960 : 13,930,392 = 13,930,392 : x
  2. Step 2: Convert to fraction form
    9,200,960/13,930,392 = 13,930,392/x
  3. Step 3: Cross multiply
    9,200,960x = 13,930,392 × 13,930,392
  4. Step 4: Simplify right side
    9,200,960x = 194,055,821,273,664
  5. Step 5: Solve for x
    x = 194,055,821,273,664/9,200,960
  6. Step 6: Final answer
    x = 21,090,823.27

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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.