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Finding the Third Proportional to 8,180,330,712 and 17,668,203,600

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Solution

The third proportional to 8,180,330,712 and 17,668,203,600 is: 38,160,488,792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180,330,712 : 17,668,203,600 = 17,668,203,600 : x
  2. Step 2: Convert to fraction form
    8,180,330,712/17,668,203,600 = 17,668,203,600/x
  3. Step 3: Cross multiply
    8,180,330,712x = 17,668,203,600 × 17,668,203,600
  4. Step 4: Simplify right side
    8,180,330,712x = 312,165,418,451,052,986,368
  5. Step 5: Solve for x
    x = 312,165,418,451,052,986,368/8,180,330,712
  6. Step 6: Final answer
    x = 38,160,488,792.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.