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Finding the Third Proportional to 37,555,983 and 80,072,626.50

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Solution

The third proportional to 37,555,983 and 80,072,626.50 is: 170,721,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,555,983 : 80,072,626.50 = 80,072,626.50 : x
  2. Step 2: Convert to fraction form
    37,555,983/80,072,626.50 = 80,072,626.50/x
  3. Step 3: Cross multiply
    37,555,983x = 80,072,626.50 × 80,072,626.50
  4. Step 4: Simplify right side
    37,555,983x = 6,411,625,514,608,502
  5. Step 5: Solve for x
    x = 6,411,625,514,608,502/37,555,983
  6. Step 6: Final answer
    x = 170,721,813.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.