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Finding the Third Proportional to 14,285,724 and 21,557,400

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Solution

The third proportional to 14,285,724 and 21,557,400 is: 32,530,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285,724 : 21,557,400 = 21,557,400 : x
  2. Step 2: Convert to fraction form
    14,285,724/21,557,400 = 21,557,400/x
  3. Step 3: Cross multiply
    14,285,724x = 21,557,400 × 21,557,400
  4. Step 4: Simplify right side
    14,285,724x = 464,721,494,760,000
  5. Step 5: Solve for x
    x = 464,721,494,760,000/14,285,724
  6. Step 6: Final answer
    x = 32,530,482.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.