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Finding the Third Proportional to 1,105,254,218 and 2,396,992,894

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Solution

The third proportional to 1,105,254,218 and 2,396,992,894 is: 5,198,419,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,254,218 : 2,396,992,894 = 2,396,992,894 : x
  2. Step 2: Convert to fraction form
    1,105,254,218/2,396,992,894 = 2,396,992,894/x
  3. Step 3: Cross multiply
    1,105,254,218x = 2,396,992,894 × 2,396,992,894
  4. Step 4: Simplify right side
    1,105,254,218x = 5,745,574,933,886,495,744
  5. Step 5: Solve for x
    x = 5,745,574,933,886,495,744/1,105,254,218
  6. Step 6: Final answer
    x = 5,198,419,368.43

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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.