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Finding the Third Proportional to 6,899,787,731 and 15,008,489,467

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Solution

The third proportional to 6,899,787,731 and 15,008,489,467 is: 32,646,621,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899,787,731 : 15,008,489,467 = 15,008,489,467 : x
  2. Step 2: Convert to fraction form
    6,899,787,731/15,008,489,467 = 15,008,489,467/x
  3. Step 3: Cross multiply
    6,899,787,731x = 15,008,489,467 × 15,008,489,467
  4. Step 4: Simplify right side
    6,899,787,731x = 225,254,756,081,049,960,448
  5. Step 5: Solve for x
    x = 225,254,756,081,049,960,448/6,899,787,731
  6. Step 6: Final answer
    x = 32,646,621,151.69

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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.