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Finding the Third Proportional to 9,348,476 and 14,084,232

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Solution

The third proportional to 9,348,476 and 14,084,232 is: 21,219,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348,476 : 14,084,232 = 14,084,232 : x
  2. Step 2: Convert to fraction form
    9,348,476/14,084,232 = 14,084,232/x
  3. Step 3: Cross multiply
    9,348,476x = 14,084,232 × 14,084,232
  4. Step 4: Simplify right side
    9,348,476x = 198,365,591,029,824
  5. Step 5: Solve for x
    x = 198,365,591,029,824/9,348,476
  6. Step 6: Final answer
    x = 21,219,029.82

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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.