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Finding the Third Proportional to 22,833,266 and 31,310,571

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Solution

The third proportional to 22,833,266 and 31,310,571 is: 42,935,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833,266 : 31,310,571 = 31,310,571 : x
  2. Step 2: Convert to fraction form
    22,833,266/31,310,571 = 31,310,571/x
  3. Step 3: Cross multiply
    22,833,266x = 31,310,571 × 31,310,571
  4. Step 4: Simplify right side
    22,833,266x = 980,351,856,346,041
  5. Step 5: Solve for x
    x = 980,351,856,346,041/22,833,266
  6. Step 6: Final answer
    x = 42,935,244.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.