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Finding the Third Proportional to 2,264,958,048 and 4,921,971,279

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Solution

The third proportional to 2,264,958,048 and 4,921,971,279 is: 10,695,916,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264,958,048 : 4,921,971,279 = 4,921,971,279 : x
  2. Step 2: Convert to fraction form
    2,264,958,048/4,921,971,279 = 4,921,971,279/x
  3. Step 3: Cross multiply
    2,264,958,048x = 4,921,971,279 × 4,921,971,279
  4. Step 4: Simplify right side
    2,264,958,048x = 24,225,801,271,300,894,720
  5. Step 5: Solve for x
    x = 24,225,801,271,300,894,720/2,264,958,048
  6. Step 6: Final answer
    x = 10,695,916,108.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.