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Finding the Third Proportional to 2,041,346,178 and 4,452,162,192

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Solution

The third proportional to 2,041,346,178 and 4,452,162,192 is: 9,710,135,594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041,346,178 : 4,452,162,192 = 4,452,162,192 : x
  2. Step 2: Convert to fraction form
    2,041,346,178/4,452,162,192 = 4,452,162,192/x
  3. Step 3: Cross multiply
    2,041,346,178x = 4,452,162,192 × 4,452,162,192
  4. Step 4: Simplify right side
    2,041,346,178x = 19,821,748,183,874,244,608
  5. Step 5: Solve for x
    x = 19,821,748,183,874,244,608/2,041,346,178
  6. Step 6: Final answer
    x = 9,710,135,594.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.