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Finding the Third Proportional to 4,536,942 and 9,968,367

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Solution

The third proportional to 4,536,942 and 9,968,367 is: 21,902,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536,942 : 9,968,367 = 9,968,367 : x
  2. Step 2: Convert to fraction form
    4,536,942/9,968,367 = 9,968,367/x
  3. Step 3: Cross multiply
    4,536,942x = 9,968,367 × 9,968,367
  4. Step 4: Simplify right side
    4,536,942x = 99,368,340,646,689
  5. Step 5: Solve for x
    x = 99,368,340,646,689/4,536,942
  6. Step 6: Final answer
    x = 21,902,052.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.