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Finding the Third Proportional to 470,858,919.75 and 1,099,788,870.75

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Solution

The third proportional to 470,858,919.75 and 1,099,788,870.75 is: 2,568,785,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,858,919.75 : 1,099,788,870.75 = 1,099,788,870.75 : x
  2. Step 2: Convert to fraction form
    470,858,919.75/1,099,788,870.75 = 1,099,788,870.75/x
  3. Step 3: Cross multiply
    470,858,919.75x = 1,099,788,870.75 × 1,099,788,870.75
  4. Step 4: Simplify right side
    470,858,919.75x = 1,209,535,560,225,560,320
  5. Step 5: Solve for x
    x = 1,209,535,560,225,560,320/470,858,919.75
  6. Step 6: Final answer
    x = 2,568,785,488.59

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.