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Finding the Third Proportional to 6,729,647,589 and 14,725,778,130

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Solution

The third proportional to 6,729,647,589 and 14,725,778,130 is: 32,222,867,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,647,589 : 14,725,778,130 = 14,725,778,130 : x
  2. Step 2: Convert to fraction form
    6,729,647,589/14,725,778,130 = 14,725,778,130/x
  3. Step 3: Cross multiply
    6,729,647,589x = 14,725,778,130 × 14,725,778,130
  4. Step 4: Simplify right side
    6,729,647,589x = 216,848,541,533,986,291,712
  5. Step 5: Solve for x
    x = 216,848,541,533,986,291,712/6,729,647,589
  6. Step 6: Final answer
    x = 32,222,867,344.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.