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Finding the Third Proportional to 4,738,590 and 10,233,696

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Solution

The third proportional to 4,738,590 and 10,233,696 is: 22,101,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738,590 : 10,233,696 = 10,233,696 : x
  2. Step 2: Convert to fraction form
    4,738,590/10,233,696 = 10,233,696/x
  3. Step 3: Cross multiply
    4,738,590x = 10,233,696 × 10,233,696
  4. Step 4: Simplify right side
    4,738,590x = 104,728,533,820,416
  5. Step 5: Solve for x
    x = 104,728,533,820,416/4,738,590
  6. Step 6: Final answer
    x = 22,101,201.80

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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.