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Finding the Third Proportional to 2,309,538,426.75 and 3,336,884,920.13

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Solution

The third proportional to 2,309,538,426.75 and 3,336,884,920.13 is: 4,821,223,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309,538,426.75 : 3,336,884,920.13 = 3,336,884,920.13 : x
  2. Step 2: Convert to fraction form
    2,309,538,426.75/3,336,884,920.13 = 3,336,884,920.13/x
  3. Step 3: Cross multiply
    2,309,538,426.75x = 3,336,884,920.13 × 3,336,884,920.13
  4. Step 4: Simplify right side
    2,309,538,426.75x = 11,134,800,970,157,627,392
  5. Step 5: Solve for x
    x = 11,134,800,970,157,627,392/2,309,538,426.75
  6. Step 6: Final answer
    x = 4,821,223,514.27

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.