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Finding the Third Proportional to 10,145,520 and 22,478,544

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Solution

The third proportional to 10,145,520 and 22,478,544 is: 49,803,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145,520 : 22,478,544 = 22,478,544 : x
  2. Step 2: Convert to fraction form
    10,145,520/22,478,544 = 22,478,544/x
  3. Step 3: Cross multiply
    10,145,520x = 22,478,544 × 22,478,544
  4. Step 4: Simplify right side
    10,145,520x = 505,284,940,359,936
  5. Step 5: Solve for x
    x = 505,284,940,359,936/10,145,520
  6. Step 6: Final answer
    x = 49,803,749.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.