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Finding the Third Proportional to 3,246,771,766 and 5,019,256,684

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Solution

The third proportional to 3,246,771,766 and 5,019,256,684 is: 7,759,380,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246,771,766 : 5,019,256,684 = 5,019,256,684 : x
  2. Step 2: Convert to fraction form
    3,246,771,766/5,019,256,684 = 5,019,256,684/x
  3. Step 3: Cross multiply
    3,246,771,766x = 5,019,256,684 × 5,019,256,684
  4. Step 4: Simplify right side
    3,246,771,766x = 25,192,937,659,878,674,432
  5. Step 5: Solve for x
    x = 25,192,937,659,878,674,432/3,246,771,766
  6. Step 6: Final answer
    x = 7,759,380,540.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.