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Finding the Third Proportional to 949,234,002.75 and 2,082,265,400.25

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Solution

The third proportional to 949,234,002.75 and 2,082,265,400.25 is: 4,567,713,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,234,002.75 : 2,082,265,400.25 = 2,082,265,400.25 : x
  2. Step 2: Convert to fraction form
    949,234,002.75/2,082,265,400.25 = 2,082,265,400.25/x
  3. Step 3: Cross multiply
    949,234,002.75x = 2,082,265,400.25 × 2,082,265,400.25
  4. Step 4: Simplify right side
    949,234,002.75x = 4,335,829,197,078,292,480
  5. Step 5: Solve for x
    x = 4,335,829,197,078,292,480/949,234,002.75
  6. Step 6: Final answer
    x = 4,567,713,740.25

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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.