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Finding the Third Proportional to 22,887,910 and 49,712,420

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Solution

The third proportional to 22,887,910 and 49,712,420 is: 107,975,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,887,910 : 49,712,420 = 49,712,420 : x
  2. Step 2: Convert to fraction form
    22,887,910/49,712,420 = 49,712,420/x
  3. Step 3: Cross multiply
    22,887,910x = 49,712,420 × 49,712,420
  4. Step 4: Simplify right side
    22,887,910x = 2,471,324,702,256,400
  5. Step 5: Solve for x
    x = 2,471,324,702,256,400/22,887,910
  6. Step 6: Final answer
    x = 107,975,114.47

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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.