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Finding the Third Proportional to 458,585,650,084 and 683,901,672,957

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Solution

The third proportional to 458,585,650,084 and 683,901,672,957 is: 1,019,921,792,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,585,650,084 : 683,901,672,957 = 683,901,672,957 : x
  2. Step 2: Convert to fraction form
    458,585,650,084/683,901,672,957 = 683,901,672,957/x
  3. Step 3: Cross multiply
    458,585,650,084x = 683,901,672,957 × 683,901,672,957
  4. Step 4: Simplify right side
    458,585,650,084x = 467,721,498,273,383,381,467,136
  5. Step 5: Solve for x
    x = 467,721,498,273,383,381,467,136/458,585,650,084
  6. Step 6: Final answer
    x = 1,019,921,792,554.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.