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Finding the Third Proportional to 2,049,992,286 and 3,061,554,986

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Solution

The third proportional to 2,049,992,286 and 3,061,554,986 is: 4,572,270,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,992,286 : 3,061,554,986 = 3,061,554,986 : x
  2. Step 2: Convert to fraction form
    2,049,992,286/3,061,554,986 = 3,061,554,986/x
  3. Step 3: Cross multiply
    2,049,992,286x = 3,061,554,986 × 3,061,554,986
  4. Step 4: Simplify right side
    2,049,992,286x = 9,373,118,932,301,459,456
  5. Step 5: Solve for x
    x = 9,373,118,932,301,459,456/2,049,992,286
  6. Step 6: Final answer
    x = 4,572,270,342.83

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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.