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Finding the Third Proportional to 10,901,664 and 22,933,296

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Solution

The third proportional to 10,901,664 and 22,933,296 is: 48,243,650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901,664 : 22,933,296 = 22,933,296 : x
  2. Step 2: Convert to fraction form
    10,901,664/22,933,296 = 22,933,296/x
  3. Step 3: Cross multiply
    10,901,664x = 22,933,296 × 22,933,296
  4. Step 4: Simplify right side
    10,901,664x = 525,936,065,423,616
  5. Step 5: Solve for x
    x = 525,936,065,423,616/10,901,664
  6. Step 6: Final answer
    x = 48,243,650.27

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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.