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Finding the Third Proportional to 14,800,823,919 and 31,960,642,481

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Solution

The third proportional to 14,800,823,919 and 31,960,642,481 is: 69,015,257,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,800,823,919 : 31,960,642,481 = 31,960,642,481 : x
  2. Step 2: Convert to fraction form
    14,800,823,919/31,960,642,481 = 31,960,642,481/x
  3. Step 3: Cross multiply
    14,800,823,919x = 31,960,642,481 × 31,960,642,481
  4. Step 4: Simplify right side
    14,800,823,919x = 1,021,482,667,798,301,900,800
  5. Step 5: Solve for x
    x = 1,021,482,667,798,301,900,800/14,800,823,919
  6. Step 6: Final answer
    x = 69,015,257,082.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.