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Finding the Third Proportional to 503,324,010 and 1,093,771,387.13

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Solution

The third proportional to 503,324,010 and 1,093,771,387.13 is: 2,376,870,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,324,010 : 1,093,771,387.13 = 1,093,771,387.13 : x
  2. Step 2: Convert to fraction form
    503,324,010/1,093,771,387.13 = 1,093,771,387.13/x
  3. Step 3: Cross multiply
    503,324,010x = 1,093,771,387.13 × 1,093,771,387.13
  4. Step 4: Simplify right side
    503,324,010x = 1,196,335,847,293,346,560
  5. Step 5: Solve for x
    x = 1,196,335,847,293,346,560/503,324,010
  6. Step 6: Final answer
    x = 2,376,870,213.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.