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Finding the Third Proportional to 1,861,268,976 and 4,032,736,848

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Solution

The third proportional to 1,861,268,976 and 4,032,736,848 is: 8,737,569,204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861,268,976 : 4,032,736,848 = 4,032,736,848 : x
  2. Step 2: Convert to fraction form
    1,861,268,976/4,032,736,848 = 4,032,736,848/x
  3. Step 3: Cross multiply
    1,861,268,976x = 4,032,736,848 × 4,032,736,848
  4. Step 4: Simplify right side
    1,861,268,976x = 16,262,966,485,216,974,848
  5. Step 5: Solve for x
    x = 16,262,966,485,216,974,848/1,861,268,976
  6. Step 6: Final answer
    x = 8,737,569,204.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.