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Finding the Third Proportional to 633,679,983 and 1,285,268,033

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Solution

The third proportional to 633,679,983 and 1,285,268,033 is: 2,606,858,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,679,983 : 1,285,268,033 = 1,285,268,033 : x
  2. Step 2: Convert to fraction form
    633,679,983/1,285,268,033 = 1,285,268,033/x
  3. Step 3: Cross multiply
    633,679,983x = 1,285,268,033 × 1,285,268,033
  4. Step 4: Simplify right side
    633,679,983x = 1,651,913,916,651,689,216
  5. Step 5: Solve for x
    x = 1,651,913,916,651,689,216/633,679,983
  6. Step 6: Final answer
    x = 2,606,858,289.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.