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Finding the Third Proportional to 1,756,239,086 and 3,468,061,642

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Solution

The third proportional to 1,756,239,086 and 3,468,061,642 is: 6,848,413,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756,239,086 : 3,468,061,642 = 3,468,061,642 : x
  2. Step 2: Convert to fraction form
    1,756,239,086/3,468,061,642 = 3,468,061,642/x
  3. Step 3: Cross multiply
    1,756,239,086x = 3,468,061,642 × 3,468,061,642
  4. Step 4: Simplify right side
    1,756,239,086x = 12,027,451,552,711,735,296
  5. Step 5: Solve for x
    x = 12,027,451,552,711,735,296/1,756,239,086
  6. Step 6: Final answer
    x = 6,848,413,549.49

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.