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Finding the Third Proportional to 77,161,390,022 and 166,145,925,118

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Solution

The third proportional to 77,161,390,022 and 166,145,925,118 is: 357,749,755,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,161,390,022 : 166,145,925,118 = 166,145,925,118 : x
  2. Step 2: Convert to fraction form
    77,161,390,022/166,145,925,118 = 166,145,925,118/x
  3. Step 3: Cross multiply
    77,161,390,022x = 166,145,925,118 × 166,145,925,118
  4. Step 4: Simplify right side
    77,161,390,022x = 27,604,468,433,316,063,739,904
  5. Step 5: Solve for x
    x = 27,604,468,433,316,063,739,904/77,161,390,022
  6. Step 6: Final answer
    x = 357,749,755,745.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.