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Finding the Third Proportional to 4,780,931,760 and 10,233,470,794

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Solution

The third proportional to 4,780,931,760 and 10,233,470,794 is: 21,904,500,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780,931,760 : 10,233,470,794 = 10,233,470,794 : x
  2. Step 2: Convert to fraction form
    4,780,931,760/10,233,470,794 = 10,233,470,794/x
  3. Step 3: Cross multiply
    4,780,931,760x = 10,233,470,794 × 10,233,470,794
  4. Step 4: Simplify right side
    4,780,931,760x = 104,723,924,491,650,990,080
  5. Step 5: Solve for x
    x = 104,723,924,491,650,990,080/4,780,931,760
  6. Step 6: Final answer
    x = 21,904,500,994.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.