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Finding the Third Proportional to 1,668,764,131 and 3,627,795,110

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Solution

The third proportional to 1,668,764,131 and 3,627,795,110 is: 7,886,613,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,764,131 : 3,627,795,110 = 3,627,795,110 : x
  2. Step 2: Convert to fraction form
    1,668,764,131/3,627,795,110 = 3,627,795,110/x
  3. Step 3: Cross multiply
    1,668,764,131x = 3,627,795,110 × 3,627,795,110
  4. Step 4: Simplify right side
    1,668,764,131x = 13,160,897,360,139,911,168
  5. Step 5: Solve for x
    x = 13,160,897,360,139,911,168/1,668,764,131
  6. Step 6: Final answer
    x = 7,886,613,282.04

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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.