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Finding the Third Proportional to 10,421,775 and 22,963,832

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Solution

The third proportional to 10,421,775 and 22,963,832 is: 50,599,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421,775 : 22,963,832 = 22,963,832 : x
  2. Step 2: Convert to fraction form
    10,421,775/22,963,832 = 22,963,832/x
  3. Step 3: Cross multiply
    10,421,775x = 22,963,832 × 22,963,832
  4. Step 4: Simplify right side
    10,421,775x = 527,337,580,124,224
  5. Step 5: Solve for x
    x = 527,337,580,124,224/10,421,775
  6. Step 6: Final answer
    x = 50,599,593.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.