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Finding the Third Proportional to 11,989,968 and 16,252,824

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Solution

The third proportional to 11,989,968 and 16,252,824 is: 22,031,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989,968 : 16,252,824 = 16,252,824 : x
  2. Step 2: Convert to fraction form
    11,989,968/16,252,824 = 16,252,824/x
  3. Step 3: Cross multiply
    11,989,968x = 16,252,824 × 16,252,824
  4. Step 4: Simplify right side
    11,989,968x = 264,154,287,974,976
  5. Step 5: Solve for x
    x = 264,154,287,974,976/11,989,968
  6. Step 6: Final answer
    x = 22,031,275.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.