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Finding the Third Proportional to 226,565,519 and 487,993,009

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Solution

The third proportional to 226,565,519 and 487,993,009 is: 1,051,074,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,565,519 : 487,993,009 = 487,993,009 : x
  2. Step 2: Convert to fraction form
    226,565,519/487,993,009 = 487,993,009/x
  3. Step 3: Cross multiply
    226,565,519x = 487,993,009 × 487,993,009
  4. Step 4: Simplify right side
    226,565,519x = 238,137,176,832,874,080
  5. Step 5: Solve for x
    x = 238,137,176,832,874,080/226,565,519
  6. Step 6: Final answer
    x = 1,051,074,222.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.