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Finding the Third Proportional to 452,810,709.75 and 978,324,909

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Solution

The third proportional to 452,810,709.75 and 978,324,909 is: 2,113,730,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,810,709.75 : 978,324,909 = 978,324,909 : x
  2. Step 2: Convert to fraction form
    452,810,709.75/978,324,909 = 978,324,909/x
  3. Step 3: Cross multiply
    452,810,709.75x = 978,324,909 × 978,324,909
  4. Step 4: Simplify right side
    452,810,709.75x = 957,119,627,569,858,304
  5. Step 5: Solve for x
    x = 957,119,627,569,858,304/452,810,709.75
  6. Step 6: Final answer
    x = 2,113,730,101.70

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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.