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Finding the Third Proportional to 35,675,242 and 78,166,148

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Solution

The third proportional to 35,675,242 and 78,166,148 is: 171,265,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675,242 : 78,166,148 = 78,166,148 : x
  2. Step 2: Convert to fraction form
    35,675,242/78,166,148 = 78,166,148/x
  3. Step 3: Cross multiply
    35,675,242x = 78,166,148 × 78,166,148
  4. Step 4: Simplify right side
    35,675,242x = 6,109,946,693,157,904
  5. Step 5: Solve for x
    x = 6,109,946,693,157,904/35,675,242
  6. Step 6: Final answer
    x = 171,265,739.22

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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.