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Finding the Third Proportional to 36,414,636 and 78,010,410

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Solution

The third proportional to 36,414,636 and 78,010,410 is: 167,120,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414,636 : 78,010,410 = 78,010,410 : x
  2. Step 2: Convert to fraction form
    36,414,636/78,010,410 = 78,010,410/x
  3. Step 3: Cross multiply
    36,414,636x = 78,010,410 × 78,010,410
  4. Step 4: Simplify right side
    36,414,636x = 6,085,624,068,368,100
  5. Step 5: Solve for x
    x = 6,085,624,068,368,100/36,414,636
  6. Step 6: Final answer
    x = 167,120,277.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.