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Finding the Third Proportional to 60,715,058,220 and 90,715,458,249

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Solution

The third proportional to 60,715,058,220 and 90,715,458,249 is: 135,539,594,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,715,058,220 : 90,715,458,249 = 90,715,458,249 : x
  2. Step 2: Convert to fraction form
    60,715,058,220/90,715,458,249 = 90,715,458,249/x
  3. Step 3: Cross multiply
    60,715,058,220x = 90,715,458,249 × 90,715,458,249
  4. Step 4: Simplify right side
    60,715,058,220x = 8,229,294,365,326,061,862,912
  5. Step 5: Solve for x
    x = 8,229,294,365,326,061,862,912/60,715,058,220
  6. Step 6: Final answer
    x = 135,539,594,403.54

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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.