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Finding the Third Proportional to 2,419,910,955 and 5,207,568,651

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Solution

The third proportional to 2,419,910,955 and 5,207,568,651 is: 11,206,516,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419,910,955 : 5,207,568,651 = 5,207,568,651 : x
  2. Step 2: Convert to fraction form
    2,419,910,955/5,207,568,651 = 5,207,568,651/x
  3. Step 3: Cross multiply
    2,419,910,955x = 5,207,568,651 × 5,207,568,651
  4. Step 4: Simplify right side
    2,419,910,955x = 27,118,771,254,877,958,144
  5. Step 5: Solve for x
    x = 27,118,771,254,877,958,144/2,419,910,955
  6. Step 6: Final answer
    x = 11,206,516,173.19

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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.