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Finding the Third Proportional to 37,743,457 and 82,552,017

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Solution

The third proportional to 37,743,457 and 82,552,017 is: 180,556,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,743,457 : 82,552,017 = 82,552,017 : x
  2. Step 2: Convert to fraction form
    37,743,457/82,552,017 = 82,552,017/x
  3. Step 3: Cross multiply
    37,743,457x = 82,552,017 × 82,552,017
  4. Step 4: Simplify right side
    37,743,457x = 6,814,835,510,768,289
  5. Step 5: Solve for x
    x = 6,814,835,510,768,289/37,743,457
  6. Step 6: Final answer
    x = 180,556,738.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.