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Finding the Third Proportional to 4,707,356 and 10,057,324

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Solution

The third proportional to 4,707,356 and 10,057,324 is: 21,487,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707,356 : 10,057,324 = 10,057,324 : x
  2. Step 2: Convert to fraction form
    4,707,356/10,057,324 = 10,057,324/x
  3. Step 3: Cross multiply
    4,707,356x = 10,057,324 × 10,057,324
  4. Step 4: Simplify right side
    4,707,356x = 101,149,766,040,976
  5. Step 5: Solve for x
    x = 101,149,766,040,976/4,707,356
  6. Step 6: Final answer
    x = 21,487,596.44

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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.