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Finding the Third Proportional to 2,225,104,155 and 4,633,325,037

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Solution

The third proportional to 2,225,104,155 and 4,633,325,037 is: 9,647,953,265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225,104,155 : 4,633,325,037 = 4,633,325,037 : x
  2. Step 2: Convert to fraction form
    2,225,104,155/4,633,325,037 = 4,633,325,037/x
  3. Step 3: Cross multiply
    2,225,104,155x = 4,633,325,037 × 4,633,325,037
  4. Step 4: Simplify right side
    2,225,104,155x = 21,467,700,898,491,052,032
  5. Step 5: Solve for x
    x = 21,467,700,898,491,052,032/2,225,104,155
  6. Step 6: Final answer
    x = 9,647,953,265.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.