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Finding the Third Proportional to 3,039,215,256 and 4,540,932,072

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Solution

The third proportional to 3,039,215,256 and 4,540,932,072 is: 6,784,667,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039,215,256 : 4,540,932,072 = 4,540,932,072 : x
  2. Step 2: Convert to fraction form
    3,039,215,256/4,540,932,072 = 4,540,932,072/x
  3. Step 3: Cross multiply
    3,039,215,256x = 4,540,932,072 × 4,540,932,072
  4. Step 4: Simplify right side
    3,039,215,256x = 20,620,064,082,518,212,608
  5. Step 5: Solve for x
    x = 20,620,064,082,518,212,608/3,039,215,256
  6. Step 6: Final answer
    x = 6,784,667,207.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.