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Finding the Third Proportional to 5,458,172,938 and 8,384,421,330

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Solution

The third proportional to 5,458,172,938 and 8,384,421,330 is: 12,879,496,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458,172,938 : 8,384,421,330 = 8,384,421,330 : x
  2. Step 2: Convert to fraction form
    5,458,172,938/8,384,421,330 = 8,384,421,330/x
  3. Step 3: Cross multiply
    5,458,172,938x = 8,384,421,330 × 8,384,421,330
  4. Step 4: Simplify right side
    5,458,172,938x = 70,298,521,038,958,968,832
  5. Step 5: Solve for x
    x = 70,298,521,038,958,968,832/5,458,172,938
  6. Step 6: Final answer
    x = 12,879,496,827.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.