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Finding the Third Proportional to 283,751,019 and 427,656,105

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Solution

The third proportional to 283,751,019 and 427,656,105 is: 644,543,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,751,019 : 427,656,105 = 427,656,105 : x
  2. Step 2: Convert to fraction form
    283,751,019/427,656,105 = 427,656,105/x
  3. Step 3: Cross multiply
    283,751,019x = 427,656,105 × 427,656,105
  4. Step 4: Simplify right side
    283,751,019x = 182,889,744,143,771,040
  5. Step 5: Solve for x
    x = 182,889,744,143,771,040/283,751,019
  6. Step 6: Final answer
    x = 644,543,039.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.