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Finding the Third Proportional to 11,464,480 and 17,894,372

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Solution

The third proportional to 11,464,480 and 17,894,372 is: 27,930,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464,480 : 17,894,372 = 17,894,372 : x
  2. Step 2: Convert to fraction form
    11,464,480/17,894,372 = 17,894,372/x
  3. Step 3: Cross multiply
    11,464,480x = 17,894,372 × 17,894,372
  4. Step 4: Simplify right side
    11,464,480x = 320,208,549,274,384
  5. Step 5: Solve for x
    x = 320,208,549,274,384/11,464,480
  6. Step 6: Final answer
    x = 27,930,490.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.