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Finding the Third Proportional to 224,559,682 and 491,451,349

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Solution

The third proportional to 224,559,682 and 491,451,349 is: 1,075,546,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,559,682 : 491,451,349 = 491,451,349 : x
  2. Step 2: Convert to fraction form
    224,559,682/491,451,349 = 491,451,349/x
  3. Step 3: Cross multiply
    224,559,682x = 491,451,349 × 491,451,349
  4. Step 4: Simplify right side
    224,559,682x = 241,524,428,433,919,808
  5. Step 5: Solve for x
    x = 241,524,428,433,919,808/224,559,682
  6. Step 6: Final answer
    x = 1,075,546,715.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.