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Finding the Third Proportional to 29,899,755 and 45,454,270.50

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Solution

The third proportional to 29,899,755 and 45,454,270.50 is: 69,100,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,899,755 : 45,454,270.50 = 45,454,270.50 : x
  2. Step 2: Convert to fraction form
    29,899,755/45,454,270.50 = 45,454,270.50/x
  3. Step 3: Cross multiply
    29,899,755x = 45,454,270.50 × 45,454,270.50
  4. Step 4: Simplify right side
    29,899,755x = 2,066,090,706,687,170.25
  5. Step 5: Solve for x
    x = 2,066,090,706,687,170.25/29,899,755
  6. Step 6: Final answer
    x = 69,100,589.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.