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Finding the Third Proportional to 21,982,023 and 46,989,227

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Solution

The third proportional to 21,982,023 and 46,989,227 is: 100,445,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982,023 : 46,989,227 = 46,989,227 : x
  2. Step 2: Convert to fraction form
    21,982,023/46,989,227 = 46,989,227/x
  3. Step 3: Cross multiply
    21,982,023x = 46,989,227 × 46,989,227
  4. Step 4: Simplify right side
    21,982,023x = 2,207,987,454,057,529
  5. Step 5: Solve for x
    x = 2,207,987,454,057,529/21,982,023
  6. Step 6: Final answer
    x = 100,445,143.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.