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Finding the Third Proportional to 4,360,419,684 and 9,565,026,008

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Solution

The third proportional to 4,360,419,684 and 9,565,026,008 is: 20,981,861,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,360,419,684 : 9,565,026,008 = 9,565,026,008 : x
  2. Step 2: Convert to fraction form
    4,360,419,684/9,565,026,008 = 9,565,026,008/x
  3. Step 3: Cross multiply
    4,360,419,684x = 9,565,026,008 × 9,565,026,008
  4. Step 4: Simplify right side
    4,360,419,684x = 91,489,722,533,716,410,368
  5. Step 5: Solve for x
    x = 91,489,722,533,716,410,368/4,360,419,684
  6. Step 6: Final answer
    x = 20,981,861,647.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.