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Finding the Third Proportional to 1,499,489,690,240 and 2,284,317,612,489

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Solution

The third proportional to 1,499,489,690,240 and 2,284,317,612,489 is: 3,479,921,861,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499,489,690,240 : 2,284,317,612,489 = 2,284,317,612,489 : x
  2. Step 2: Convert to fraction form
    1,499,489,690,240/2,284,317,612,489 = 2,284,317,612,489/x
  3. Step 3: Cross multiply
    1,499,489,690,240x = 2,284,317,612,489 × 2,284,317,612,489
  4. Step 4: Simplify right side
    1,499,489,690,240x = 5,218,106,954,727,444,711,473,152
  5. Step 5: Solve for x
    x = 5,218,106,954,727,444,711,473,152/1,499,489,690,240
  6. Step 6: Final answer
    x = 3,479,921,861,878.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.