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Finding the Third Proportional to 458,585,650,100 and 683,901,672,973

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Solution

The third proportional to 458,585,650,100 and 683,901,672,973 is: 1,019,921,792,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,585,650,100 : 683,901,672,973 = 683,901,672,973 : x
  2. Step 2: Convert to fraction form
    458,585,650,100/683,901,672,973 = 683,901,672,973/x
  3. Step 3: Cross multiply
    458,585,650,100x = 683,901,672,973 × 683,901,672,973
  4. Step 4: Simplify right side
    458,585,650,100x = 467,721,498,295,268,253,106,176
  5. Step 5: Solve for x
    x = 467,721,498,295,268,253,106,176/458,585,650,100
  6. Step 6: Final answer
    x = 1,019,921,792,566.51

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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.