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Finding the Third Proportional to 9,220,512 and 13,531,824

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Solution

The third proportional to 9,220,512 and 13,531,824 is: 19,859,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220,512 : 13,531,824 = 13,531,824 : x
  2. Step 2: Convert to fraction form
    9,220,512/13,531,824 = 13,531,824/x
  3. Step 3: Cross multiply
    9,220,512x = 13,531,824 × 13,531,824
  4. Step 4: Simplify right side
    9,220,512x = 183,110,260,766,976
  5. Step 5: Solve for x
    x = 183,110,260,766,976/9,220,512
  6. Step 6: Final answer
    x = 19,859,012.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.