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Finding the Third Proportional to 2,096,258,670 and 4,486,991,868

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Solution

The third proportional to 2,096,258,670 and 4,486,991,868 is: 9,604,299,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,258,670 : 4,486,991,868 = 4,486,991,868 : x
  2. Step 2: Convert to fraction form
    2,096,258,670/4,486,991,868 = 4,486,991,868/x
  3. Step 3: Cross multiply
    2,096,258,670x = 4,486,991,868 × 4,486,991,868
  4. Step 4: Simplify right side
    2,096,258,670x = 20,133,096,023,498,129,408
  5. Step 5: Solve for x
    x = 20,133,096,023,498,129,408/2,096,258,670
  6. Step 6: Final answer
    x = 9,604,299,465.34

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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.