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Finding the Third Proportional to 10,455,660 and 22,648,344

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Solution

The third proportional to 10,455,660 and 22,648,344 is: 49,059,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455,660 : 22,648,344 = 22,648,344 : x
  2. Step 2: Convert to fraction form
    10,455,660/22,648,344 = 22,648,344/x
  3. Step 3: Cross multiply
    10,455,660x = 22,648,344 × 22,648,344
  4. Step 4: Simplify right side
    10,455,660x = 512,947,485,942,336
  5. Step 5: Solve for x
    x = 512,947,485,942,336/10,455,660
  6. Step 6: Final answer
    x = 49,059,311.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.