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Finding the Third Proportional to 8,176,794,653 and 17,749,104,577

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Solution

The third proportional to 8,176,794,653 and 17,749,104,577 is: 38,527,409,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176,794,653 : 17,749,104,577 = 17,749,104,577 : x
  2. Step 2: Convert to fraction form
    8,176,794,653/17,749,104,577 = 17,749,104,577/x
  3. Step 3: Cross multiply
    8,176,794,653x = 17,749,104,577 × 17,749,104,577
  4. Step 4: Simplify right side
    8,176,794,653x = 315,030,713,285,282,365,440
  5. Step 5: Solve for x
    x = 315,030,713,285,282,365,440/8,176,794,653
  6. Step 6: Final answer
    x = 38,527,409,168.79

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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.