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Finding the Third Proportional to 35,675,240 and 78,166,144

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Solution

The third proportional to 35,675,240 and 78,166,144 is: 171,265,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675,240 : 78,166,144 = 78,166,144 : x
  2. Step 2: Convert to fraction form
    35,675,240/78,166,144 = 78,166,144/x
  3. Step 3: Cross multiply
    35,675,240x = 78,166,144 × 78,166,144
  4. Step 4: Simplify right side
    35,675,240x = 6,109,946,067,828,736
  5. Step 5: Solve for x
    x = 6,109,946,067,828,736/35,675,240
  6. Step 6: Final answer
    x = 171,265,731.30

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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.