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Finding the Third Proportional to 5,458,172,934 and 8,384,421,324

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Solution

The third proportional to 5,458,172,934 and 8,384,421,324 is: 12,879,496,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458,172,934 : 8,384,421,324 = 8,384,421,324 : x
  2. Step 2: Convert to fraction form
    5,458,172,934/8,384,421,324 = 8,384,421,324/x
  3. Step 3: Cross multiply
    5,458,172,934x = 8,384,421,324 × 8,384,421,324
  4. Step 4: Simplify right side
    5,458,172,934x = 70,298,520,938,345,914,368
  5. Step 5: Solve for x
    x = 70,298,520,938,345,914,368/5,458,172,934
  6. Step 6: Final answer
    x = 12,879,496,818.51

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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.