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Finding the Third Proportional to 2,264,958,049 and 4,921,971,250

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Solution

The third proportional to 2,264,958,049 and 4,921,971,250 is: 10,695,915,978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264,958,049 : 4,921,971,250 = 4,921,971,250 : x
  2. Step 2: Convert to fraction form
    2,264,958,049/4,921,971,250 = 4,921,971,250/x
  3. Step 3: Cross multiply
    2,264,958,049x = 4,921,971,250 × 4,921,971,250
  4. Step 4: Simplify right side
    2,264,958,049x = 24,225,800,985,826,562,048
  5. Step 5: Solve for x
    x = 24,225,800,985,826,562,048/2,264,958,049
  6. Step 6: Final answer
    x = 10,695,915,978.01

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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.