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Finding the Third Proportional to 23,431,070 and 50,892,232

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Solution

The third proportional to 23,431,070 and 50,892,232 is: 110,537,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,431,070 : 50,892,232 = 50,892,232 : x
  2. Step 2: Convert to fraction form
    23,431,070/50,892,232 = 50,892,232/x
  3. Step 3: Cross multiply
    23,431,070x = 50,892,232 × 50,892,232
  4. Step 4: Simplify right side
    23,431,070x = 2,590,019,277,941,824
  5. Step 5: Solve for x
    x = 2,590,019,277,941,824/23,431,070
  6. Step 6: Final answer
    x = 110,537,814.87

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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.