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Finding the Third Proportional to 2,096,258,702 and 4,486,991,932

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Solution

The third proportional to 2,096,258,702 and 4,486,991,932 is: 9,604,299,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,258,702 : 4,486,991,932 = 4,486,991,932 : x
  2. Step 2: Convert to fraction form
    2,096,258,702/4,486,991,932 = 4,486,991,932/x
  3. Step 3: Cross multiply
    2,096,258,702x = 4,486,991,932 × 4,486,991,932
  4. Step 4: Simplify right side
    2,096,258,702x = 20,133,096,597,833,093,120
  5. Step 5: Solve for x
    x = 20,133,096,597,833,093,120/2,096,258,702
  6. Step 6: Final answer
    x = 9,604,299,592.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.