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Finding the Third Proportional to 22,295,296 and 32,582,656

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Solution

The third proportional to 22,295,296 and 32,582,656 is: 47,616,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295,296 : 32,582,656 = 32,582,656 : x
  2. Step 2: Convert to fraction form
    22,295,296/32,582,656 = 32,582,656/x
  3. Step 3: Cross multiply
    22,295,296x = 32,582,656 × 32,582,656
  4. Step 4: Simplify right side
    22,295,296x = 1,061,629,472,014,336
  5. Step 5: Solve for x
    x = 1,061,629,472,014,336/22,295,296
  6. Step 6: Final answer
    x = 47,616,747.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.