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Finding the Third Proportional to 35,364,123 and 78,161,022

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Solution

The third proportional to 35,364,123 and 78,161,022 is: 172,749,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,364,123 : 78,161,022 = 78,161,022 : x
  2. Step 2: Convert to fraction form
    35,364,123/78,161,022 = 78,161,022/x
  3. Step 3: Cross multiply
    35,364,123x = 78,161,022 × 78,161,022
  4. Step 4: Simplify right side
    35,364,123x = 6,109,145,360,084,484
  5. Step 5: Solve for x
    x = 6,109,145,360,084,484/35,364,123
  6. Step 6: Final answer
    x = 172,749,805.22

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.