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Finding the Third Proportional to 10,688,800 and 22,427,936

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Solution

The third proportional to 10,688,800 and 22,427,936 is: 47,059,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688,800 : 22,427,936 = 22,427,936 : x
  2. Step 2: Convert to fraction form
    10,688,800/22,427,936 = 22,427,936/x
  3. Step 3: Cross multiply
    10,688,800x = 22,427,936 × 22,427,936
  4. Step 4: Simplify right side
    10,688,800x = 503,012,313,220,096
  5. Step 5: Solve for x
    x = 503,012,313,220,096/10,688,800
  6. Step 6: Final answer
    x = 47,059,755.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.