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Finding the Third Proportional to 4,745,664 and 10,237,824

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Solution

The third proportional to 4,745,664 and 10,237,824 is: 22,086,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745,664 : 10,237,824 = 10,237,824 : x
  2. Step 2: Convert to fraction form
    4,745,664/10,237,824 = 10,237,824/x
  3. Step 3: Cross multiply
    4,745,664x = 10,237,824 × 10,237,824
  4. Step 4: Simplify right side
    4,745,664x = 104,813,040,254,976
  5. Step 5: Solve for x
    x = 104,813,040,254,976/4,745,664
  6. Step 6: Final answer
    x = 22,086,064.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.