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Finding the Third Proportional to 4,790,821,421 and 10,425,247,107

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Solution

The third proportional to 4,790,821,421 and 10,425,247,107 is: 22,686,250,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,790,821,421 : 10,425,247,107 = 10,425,247,107 : x
  2. Step 2: Convert to fraction form
    4,790,821,421/10,425,247,107 = 10,425,247,107/x
  3. Step 3: Cross multiply
    4,790,821,421x = 10,425,247,107 × 10,425,247,107
  4. Step 4: Simplify right side
    4,790,821,421x = 108,685,777,242,011,877,376
  5. Step 5: Solve for x
    x = 108,685,777,242,011,877,376/4,790,821,421
  6. Step 6: Final answer
    x = 22,686,250,997.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.