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Finding the Third Proportional to 35,665,504 and 78,165,824

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Solution

The third proportional to 35,665,504 and 78,165,824 is: 171,311,080.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,665,504 : 78,165,824 = 78,165,824 : x
  2. Step 2: Convert to fraction form
    35,665,504/78,165,824 = 78,165,824/x
  3. Step 3: Cross multiply
    35,665,504x = 78,165,824 × 78,165,824
  4. Step 4: Simplify right side
    35,665,504x = 6,109,896,041,598,976
  5. Step 5: Solve for x
    x = 6,109,896,041,598,976/35,665,504
  6. Step 6: Final answer
    x = 171,311,080.91

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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.