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Finding the Third Proportional to 2,049,992,232 and 3,061,554,912

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Solution

The third proportional to 2,049,992,232 and 3,061,554,912 is: 4,572,270,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,992,232 : 3,061,554,912 = 3,061,554,912 : x
  2. Step 2: Convert to fraction form
    2,049,992,232/3,061,554,912 = 3,061,554,912/x
  3. Step 3: Cross multiply
    2,049,992,232x = 3,061,554,912 × 3,061,554,912
  4. Step 4: Simplify right side
    2,049,992,232x = 9,373,118,479,191,326,720
  5. Step 5: Solve for x
    x = 9,373,118,479,191,326,720/2,049,992,232
  6. Step 6: Final answer
    x = 4,572,270,242.24

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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.