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Finding the Third Proportional to 458,585,650,101 and 683,901,672,975

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Solution

The third proportional to 458,585,650,101 and 683,901,672,975 is: 1,019,921,792,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,585,650,101 : 683,901,672,975 = 683,901,672,975 : x
  2. Step 2: Convert to fraction form
    458,585,650,101/683,901,672,975 = 683,901,672,975/x
  3. Step 3: Cross multiply
    458,585,650,101x = 683,901,672,975 × 683,901,672,975
  4. Step 4: Simplify right side
    458,585,650,101x = 467,721,498,298,003,878,838,272
  5. Step 5: Solve for x
    x = 467,721,498,298,003,878,838,272/458,585,650,101
  6. Step 6: Final answer
    x = 1,019,921,792,570.25

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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.