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Finding the Third Proportional to 1,690,331,846 and 2,335,719,135

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Solution

The third proportional to 1,690,331,846 and 2,335,719,135 is: 3,227,522,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,331,846 : 2,335,719,135 = 2,335,719,135 : x
  2. Step 2: Convert to fraction form
    1,690,331,846/2,335,719,135 = 2,335,719,135/x
  3. Step 3: Cross multiply
    1,690,331,846x = 2,335,719,135 × 2,335,719,135
  4. Step 4: Simplify right side
    1,690,331,846x = 5,455,583,877,605,148,672
  5. Step 5: Solve for x
    x = 5,455,583,877,605,148,672/1,690,331,846
  6. Step 6: Final answer
    x = 3,227,522,388.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.