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Finding the Third Proportional to 4,378,993,245 and 9,068,420,205

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Solution

The third proportional to 4,378,993,245 and 9,068,420,205 is: 18,779,714,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378,993,245 : 9,068,420,205 = 9,068,420,205 : x
  2. Step 2: Convert to fraction form
    4,378,993,245/9,068,420,205 = 9,068,420,205/x
  3. Step 3: Cross multiply
    4,378,993,245x = 9,068,420,205 × 9,068,420,205
  4. Step 4: Simplify right side
    4,378,993,245x = 82,236,245,014,452,240,384
  5. Step 5: Solve for x
    x = 82,236,245,014,452,240,384/4,378,993,245
  6. Step 6: Final answer
    x = 18,779,714,974.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.