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Finding the Third Proportional to 2,040,745,124,183 and 4,476,589,016,372

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Solution

The third proportional to 2,040,745,124,183 and 4,476,589,016,372 is: 9,819,868,725,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,745,124,183 : 4,476,589,016,372 = 4,476,589,016,372 : x
  2. Step 2: Convert to fraction form
    2,040,745,124,183/4,476,589,016,372 = 4,476,589,016,372/x
  3. Step 3: Cross multiply
    2,040,745,124,183x = 4,476,589,016,372 × 4,476,589,016,372
  4. Step 4: Simplify right side
    2,040,745,124,183x = 20,039,849,221,502,430,099,800,064
  5. Step 5: Solve for x
    x = 20,039,849,221,502,430,099,800,064/2,040,745,124,183
  6. Step 6: Final answer
    x = 9,819,868,725,412.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.