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Finding the Third Proportional to 37,558,108 and 82,289,572

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Solution

The third proportional to 37,558,108 and 82,289,572 is: 180,295,920.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,558,108 : 82,289,572 = 82,289,572 : x
  2. Step 2: Convert to fraction form
    37,558,108/82,289,572 = 82,289,572/x
  3. Step 3: Cross multiply
    37,558,108x = 82,289,572 × 82,289,572
  4. Step 4: Simplify right side
    37,558,108x = 6,771,573,659,943,184
  5. Step 5: Solve for x
    x = 6,771,573,659,943,184/37,558,108
  6. Step 6: Final answer
    x = 180,295,920.66

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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.