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Finding the Third Proportional to 1,461,555,408 and 3,410,413,816

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Solution

The third proportional to 1,461,555,408 and 3,410,413,816 is: 7,957,907,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,555,408 : 3,410,413,816 = 3,410,413,816 : x
  2. Step 2: Convert to fraction form
    1,461,555,408/3,410,413,816 = 3,410,413,816/x
  3. Step 3: Cross multiply
    1,461,555,408x = 3,410,413,816 × 3,410,413,816
  4. Step 4: Simplify right side
    1,461,555,408x = 11,630,922,396,363,681,792
  5. Step 5: Solve for x
    x = 11,630,922,396,363,681,792/1,461,555,408
  6. Step 6: Final answer
    x = 7,957,907,262.84

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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.