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Finding the Third Proportional to 949,234,007.25 and 2,082,265,409.25

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Solution

The third proportional to 949,234,007.25 and 2,082,265,409.25 is: 4,567,713,758.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,234,007.25 : 2,082,265,409.25 = 2,082,265,409.25 : x
  2. Step 2: Convert to fraction form
    949,234,007.25/2,082,265,409.25 = 2,082,265,409.25/x
  3. Step 3: Cross multiply
    949,234,007.25x = 2,082,265,409.25 × 2,082,265,409.25
  4. Step 4: Simplify right side
    949,234,007.25x = 4,335,829,234,559,070,208
  5. Step 5: Solve for x
    x = 4,335,829,234,559,070,208/949,234,007.25
  6. Step 6: Final answer
    x = 4,567,713,758.09

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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.