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Finding the Third Proportional to 36,968,104 and 82,436,320

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Solution

The third proportional to 36,968,104 and 82,436,320 is: 183,827,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968,104 : 82,436,320 = 82,436,320 : x
  2. Step 2: Convert to fraction form
    36,968,104/82,436,320 = 82,436,320/x
  3. Step 3: Cross multiply
    36,968,104x = 82,436,320 × 82,436,320
  4. Step 4: Simplify right side
    36,968,104x = 6,795,746,855,142,400
  5. Step 5: Solve for x
    x = 6,795,746,855,142,400/36,968,104
  6. Step 6: Final answer
    x = 183,827,302.99

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.