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Finding the Third Proportional to 284,095,550,723.05 and 618,203,375,346.36

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Solution

The third proportional to 284,095,550,723.05 and 618,203,375,346.36 is: 1,345,235,475,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,095,550,723.05 : 618,203,375,346.36 = 618,203,375,346.36 : x
  2. Step 2: Convert to fraction form
    284,095,550,723.05/618,203,375,346.36 = 618,203,375,346.36/x
  3. Step 3: Cross multiply
    284,095,550,723.05x = 618,203,375,346.36 × 618,203,375,346.36
  4. Step 4: Simplify right side
    284,095,550,723.05x = 382,175,413,289,632,455,983,104
  5. Step 5: Solve for x
    x = 382,175,413,289,632,455,983,104/284,095,550,723.05
  6. Step 6: Final answer
    x = 1,345,235,475,588.97

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