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Finding the Third Proportional to 2,049,992,031 and 3,061,554,627

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Solution

The third proportional to 2,049,992,031 and 3,061,554,627 is: 4,572,269,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,992,031 : 3,061,554,627 = 3,061,554,627 : x
  2. Step 2: Convert to fraction form
    2,049,992,031/3,061,554,627 = 3,061,554,627/x
  3. Step 3: Cross multiply
    2,049,992,031x = 3,061,554,627 × 3,061,554,627
  4. Step 4: Simplify right side
    2,049,992,031x = 9,373,116,734,105,108,480
  5. Step 5: Solve for x
    x = 9,373,116,734,105,108,480/2,049,992,031
  6. Step 6: Final answer
    x = 4,572,269,839.28

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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.