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Finding the Third Proportional to 3,246,224,574 and 7,090,120,891

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Solution

The third proportional to 3,246,224,574 and 7,090,120,891 is: 15,485,624,331.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246,224,574 : 7,090,120,891 = 7,090,120,891 : x
  2. Step 2: Convert to fraction form
    3,246,224,574/7,090,120,891 = 7,090,120,891/x
  3. Step 3: Cross multiply
    3,246,224,574x = 7,090,120,891 × 7,090,120,891
  4. Step 4: Simplify right side
    3,246,224,574x = 50,269,814,248,994,635,776
  5. Step 5: Solve for x
    x = 50,269,814,248,994,635,776/3,246,224,574
  6. Step 6: Final answer
    x = 15,485,624,331.61

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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.