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Finding the Third Proportional to 23,168,864 and 31,465,911

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Solution

The third proportional to 23,168,864 and 31,465,911 is: 42,734,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,168,864 : 31,465,911 = 31,465,911 : x
  2. Step 2: Convert to fraction form
    23,168,864/31,465,911 = 31,465,911/x
  3. Step 3: Cross multiply
    23,168,864x = 31,465,911 × 31,465,911
  4. Step 4: Simplify right side
    23,168,864x = 990,103,555,059,921
  5. Step 5: Solve for x
    x = 990,103,555,059,921/23,168,864
  6. Step 6: Final answer
    x = 42,734,229.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.