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Finding the Third Proportional to 2,459,339,049 and 5,355,345,330

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Solution

The third proportional to 2,459,339,049 and 5,355,345,330 is: 11,661,557,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459,339,049 : 5,355,345,330 = 5,355,345,330 : x
  2. Step 2: Convert to fraction form
    2,459,339,049/5,355,345,330 = 5,355,345,330/x
  3. Step 3: Cross multiply
    2,459,339,049x = 5,355,345,330 × 5,355,345,330
  4. Step 4: Simplify right side
    2,459,339,049x = 28,679,723,603,552,808,960
  5. Step 5: Solve for x
    x = 28,679,723,603,552,808,960/2,459,339,049
  6. Step 6: Final answer
    x = 11,661,557,447.81

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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.