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Finding the Third Proportional to 3,058,324,458 and 4,718,438,064

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Solution

The third proportional to 3,058,324,458 and 4,718,438,064 is: 7,279,691,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058,324,458 : 4,718,438,064 = 4,718,438,064 : x
  2. Step 2: Convert to fraction form
    3,058,324,458/4,718,438,064 = 4,718,438,064/x
  3. Step 3: Cross multiply
    3,058,324,458x = 4,718,438,064 × 4,718,438,064
  4. Step 4: Simplify right side
    3,058,324,458x = 22,263,657,763,804,069,888
  5. Step 5: Solve for x
    x = 22,263,657,763,804,069,888/3,058,324,458
  6. Step 6: Final answer
    x = 7,279,691,239.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.