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Finding the Third Proportional to 5,908,824 and 12,852,912

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Solution

The third proportional to 5,908,824 and 12,852,912 is: 27,957,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908,824 : 12,852,912 = 12,852,912 : x
  2. Step 2: Convert to fraction form
    5,908,824/12,852,912 = 12,852,912/x
  3. Step 3: Cross multiply
    5,908,824x = 12,852,912 × 12,852,912
  4. Step 4: Simplify right side
    5,908,824x = 165,197,346,879,744
  5. Step 5: Solve for x
    x = 165,197,346,879,744/5,908,824
  6. Step 6: Final answer
    x = 27,957,736.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.