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Finding the Third Proportional to 5,351,824 and 11,436,320

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Solution

The third proportional to 5,351,824 and 11,436,320 is: 24,438,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351,824 : 11,436,320 = 11,436,320 : x
  2. Step 2: Convert to fraction form
    5,351,824/11,436,320 = 11,436,320/x
  3. Step 3: Cross multiply
    5,351,824x = 11,436,320 × 11,436,320
  4. Step 4: Simplify right side
    5,351,824x = 130,789,415,142,400
  5. Step 5: Solve for x
    x = 130,789,415,142,400/5,351,824
  6. Step 6: Final answer
    x = 24,438,287.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.