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Finding the Third Proportional to 7,476,968 and 16,213,640

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Solution

The third proportional to 7,476,968 and 16,213,640 is: 35,158,920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476,968 : 16,213,640 = 16,213,640 : x
  2. Step 2: Convert to fraction form
    7,476,968/16,213,640 = 16,213,640/x
  3. Step 3: Cross multiply
    7,476,968x = 16,213,640 × 16,213,640
  4. Step 4: Simplify right side
    7,476,968x = 262,882,122,049,600
  5. Step 5: Solve for x
    x = 262,882,122,049,600/7,476,968
  6. Step 6: Final answer
    x = 35,158,920.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.