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Finding the Third Proportional to 10,139,199 and 22,545,312

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Solution

The third proportional to 10,139,199 and 22,545,312 is: 50,131,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139,199 : 22,545,312 = 22,545,312 : x
  2. Step 2: Convert to fraction form
    10,139,199/22,545,312 = 22,545,312/x
  3. Step 3: Cross multiply
    10,139,199x = 22,545,312 × 22,545,312
  4. Step 4: Simplify right side
    10,139,199x = 508,291,093,177,344
  5. Step 5: Solve for x
    x = 508,291,093,177,344/10,139,199
  6. Step 6: Final answer
    x = 50,131,286.82

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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.