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Finding the Third Proportional to 1,461,555,420 and 3,410,413,846

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Solution

The third proportional to 1,461,555,420 and 3,410,413,846 is: 7,957,907,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,555,420 : 3,410,413,846 = 3,410,413,846 : x
  2. Step 2: Convert to fraction form
    1,461,555,420/3,410,413,846 = 3,410,413,846/x
  3. Step 3: Cross multiply
    1,461,555,420x = 3,410,413,846 × 3,410,413,846
  4. Step 4: Simplify right side
    1,461,555,420x = 11,630,922,600,988,512,256
  5. Step 5: Solve for x
    x = 11,630,922,600,988,512,256/1,461,555,420
  6. Step 6: Final answer
    x = 7,957,907,337.51

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.