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Finding the Third Proportional to 224,093,988 and 487,451,592

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Solution

The third proportional to 224,093,988 and 487,451,592 is: 1,060,309,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,093,988 : 487,451,592 = 487,451,592 : x
  2. Step 2: Convert to fraction form
    224,093,988/487,451,592 = 487,451,592/x
  3. Step 3: Cross multiply
    224,093,988x = 487,451,592 × 487,451,592
  4. Step 4: Simplify right side
    224,093,988x = 237,609,054,543,334,464
  5. Step 5: Solve for x
    x = 237,609,054,543,334,464/224,093,988
  6. Step 6: Final answer
    x = 1,060,309,813.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.