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Finding the Third Proportional to 21,297,639 and 46,647,561

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Solution

The third proportional to 21,297,639 and 46,647,561 is: 102,170,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,297,639 : 46,647,561 = 46,647,561 : x
  2. Step 2: Convert to fraction form
    21,297,639/46,647,561 = 46,647,561/x
  3. Step 3: Cross multiply
    21,297,639x = 46,647,561 × 46,647,561
  4. Step 4: Simplify right side
    21,297,639x = 2,175,994,947,248,721
  5. Step 5: Solve for x
    x = 2,175,994,947,248,721/21,297,639
  6. Step 6: Final answer
    x = 102,170,712.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.