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Finding the Third Proportional to 1,024,885,756,378 and 2,204,013,295,032

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Solution

The third proportional to 1,024,885,756,378 and 2,204,013,295,032 is: 4,739,723,012,489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,885,756,378 : 2,204,013,295,032 = 2,204,013,295,032 : x
  2. Step 2: Convert to fraction form
    1,024,885,756,378/2,204,013,295,032 = 2,204,013,295,032/x
  3. Step 3: Cross multiply
    1,024,885,756,378x = 2,204,013,295,032 × 2,204,013,295,032
  4. Step 4: Simplify right side
    1,024,885,756,378x = 4,857,674,604,677,813,430,648,832
  5. Step 5: Solve for x
    x = 4,857,674,604,677,813,430,648,832/1,024,885,756,378
  6. Step 6: Final answer
    x = 4,739,723,012,489.79

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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.