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Finding the Third Proportional to 36,798,618.94 and 80,281,297.13

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Solution

The third proportional to 36,798,618.94 and 80,281,297.13 is: 175,144,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798,618.94 : 80,281,297.13 = 80,281,297.13 : x
  2. Step 2: Convert to fraction form
    36,798,618.94/80,281,297.13 = 80,281,297.13/x
  3. Step 3: Cross multiply
    36,798,618.94x = 80,281,297.13 × 80,281,297.13
  4. Step 4: Simplify right side
    36,798,618.94x = 6,445,086,668,072,533
  5. Step 5: Solve for x
    x = 6,445,086,668,072,533/36,798,618.94
  6. Step 6: Final answer
    x = 175,144,797.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.