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Finding the Third Proportional to 10,139,200 and 22,545,314

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Solution

The third proportional to 10,139,200 and 22,545,314 is: 50,131,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139,200 : 22,545,314 = 22,545,314 : x
  2. Step 2: Convert to fraction form
    10,139,200/22,545,314 = 22,545,314/x
  3. Step 3: Cross multiply
    10,139,200x = 22,545,314 × 22,545,314
  4. Step 4: Simplify right side
    10,139,200x = 508,291,183,358,596
  5. Step 5: Solve for x
    x = 508,291,183,358,596/10,139,200
  6. Step 6: Final answer
    x = 50,131,290.77

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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.