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Finding the Third Proportional to 1,749,469,428 and 3,855,536,434

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Solution

The third proportional to 1,749,469,428 and 3,855,536,434 is: 8,496,953,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,469,428 : 3,855,536,434 = 3,855,536,434 : x
  2. Step 2: Convert to fraction form
    1,749,469,428/3,855,536,434 = 3,855,536,434/x
  3. Step 3: Cross multiply
    1,749,469,428x = 3,855,536,434 × 3,855,536,434
  4. Step 4: Simplify right side
    1,749,469,428x = 14,865,161,193,901,436,928
  5. Step 5: Solve for x
    x = 14,865,161,193,901,436,928/1,749,469,428
  6. Step 6: Final answer
    x = 8,496,953,965.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.