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Finding the Third Proportional to 9,336,957,660 and 20,164,709,004

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Solution

The third proportional to 9,336,957,660 and 20,164,709,004 is: 43,549,034,281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336,957,660 : 20,164,709,004 = 20,164,709,004 : x
  2. Step 2: Convert to fraction form
    9,336,957,660/20,164,709,004 = 20,164,709,004/x
  3. Step 3: Cross multiply
    9,336,957,660x = 20,164,709,004 × 20,164,709,004
  4. Step 4: Simplify right side
    9,336,957,660x = 406,615,489,215,998,656,512
  5. Step 5: Solve for x
    x = 406,615,489,215,998,656,512/9,336,957,660
  6. Step 6: Final answer
    x = 43,549,034,281.04

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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.