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Finding the Third Proportional to 2,749,137,728,544 and 5,576,663,712,384

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Solution

The third proportional to 2,749,137,728,544 and 5,576,663,712,384 is: 11,312,339,079,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749,137,728,544 : 5,576,663,712,384 = 5,576,663,712,384 : x
  2. Step 2: Convert to fraction form
    2,749,137,728,544/5,576,663,712,384 = 5,576,663,712,384/x
  3. Step 3: Cross multiply
    2,749,137,728,544x = 5,576,663,712,384 × 5,576,663,712,384
  4. Step 4: Simplify right side
    2,749,137,728,544x = 31,099,178,161,020,497,274,339,328
  5. Step 5: Solve for x
    x = 31,099,178,161,020,497,274,339,328/2,749,137,728,544
  6. Step 6: Final answer
    x = 11,312,339,079,312.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.