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Finding the Third Proportional to 760,093,704 and 1,665,470,016

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Solution

The third proportional to 760,093,704 and 1,665,470,016 is: 3,649,274,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,093,704 : 1,665,470,016 = 1,665,470,016 : x
  2. Step 2: Convert to fraction form
    760,093,704/1,665,470,016 = 1,665,470,016/x
  3. Step 3: Cross multiply
    760,093,704x = 1,665,470,016 × 1,665,470,016
  4. Step 4: Simplify right side
    760,093,704x = 2,773,790,374,195,040,256
  5. Step 5: Solve for x
    x = 2,773,790,374,195,040,256/760,093,704
  6. Step 6: Final answer
    x = 3,649,274,240.27

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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.