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Finding the Third Proportional to 8,176,794,606 and 17,749,104,477

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Solution

The third proportional to 8,176,794,606 and 17,749,104,477 is: 38,527,408,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176,794,606 : 17,749,104,477 = 17,749,104,477 : x
  2. Step 2: Convert to fraction form
    8,176,794,606/17,749,104,477 = 17,749,104,477/x
  3. Step 3: Cross multiply
    8,176,794,606x = 17,749,104,477 × 17,749,104,477
  4. Step 4: Simplify right side
    8,176,794,606x = 315,030,709,735,461,421,056
  5. Step 5: Solve for x
    x = 315,030,709,735,461,421,056/8,176,794,606
  6. Step 6: Final answer
    x = 38,527,408,956.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.