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Finding the Third Proportional to 1,129,204,575 and 2,446,007,823

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Solution

The third proportional to 1,129,204,575 and 2,446,007,823 is: 5,298,379,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,204,575 : 2,446,007,823 = 2,446,007,823 : x
  2. Step 2: Convert to fraction form
    1,129,204,575/2,446,007,823 = 2,446,007,823/x
  3. Step 3: Cross multiply
    1,129,204,575x = 2,446,007,823 × 2,446,007,823
  4. Step 4: Simplify right side
    1,129,204,575x = 5,982,954,270,177,199,104
  5. Step 5: Solve for x
    x = 5,982,954,270,177,199,104/1,129,204,575
  6. Step 6: Final answer
    x = 5,298,379,410.28

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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.