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Finding the Third Proportional to 1,749,469,424 and 3,855,536,426

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Solution

The third proportional to 1,749,469,424 and 3,855,536,426 is: 8,496,953,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,469,424 : 3,855,536,426 = 3,855,536,426 : x
  2. Step 2: Convert to fraction form
    1,749,469,424/3,855,536,426 = 3,855,536,426/x
  3. Step 3: Cross multiply
    1,749,469,424x = 3,855,536,426 × 3,855,536,426
  4. Step 4: Simplify right side
    1,749,469,424x = 14,865,161,132,212,852,736
  5. Step 5: Solve for x
    x = 14,865,161,132,212,852,736/1,749,469,424
  6. Step 6: Final answer
    x = 8,496,953,949.74

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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.