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Finding the Third Proportional to 8,176,794,654 and 17,749,104,576

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Solution

The third proportional to 8,176,794,654 and 17,749,104,576 is: 38,527,409,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176,794,654 : 17,749,104,576 = 17,749,104,576 : x
  2. Step 2: Convert to fraction form
    8,176,794,654/17,749,104,576 = 17,749,104,576/x
  3. Step 3: Cross multiply
    8,176,794,654x = 17,749,104,576 × 17,749,104,576
  4. Step 4: Simplify right side
    8,176,794,654x = 315,030,713,249,784,135,680
  5. Step 5: Solve for x
    x = 315,030,713,249,784,135,680/8,176,794,654
  6. Step 6: Final answer
    x = 38,527,409,159.73

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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.