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Finding the Third Proportional to 37,361,130 and 82,077,503

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Solution

The third proportional to 37,361,130 and 82,077,503 is: 180,313,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,361,130 : 82,077,503 = 82,077,503 : x
  2. Step 2: Convert to fraction form
    37,361,130/82,077,503 = 82,077,503/x
  3. Step 3: Cross multiply
    37,361,130x = 82,077,503 × 82,077,503
  4. Step 4: Simplify right side
    37,361,130x = 6,736,716,498,715,009
  5. Step 5: Solve for x
    x = 6,736,716,498,715,009/37,361,130
  6. Step 6: Final answer
    x = 180,313,510.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.