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Finding the Third Proportional to 5,458,172,926.50 and 8,384,421,312

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Solution

The third proportional to 5,458,172,926.50 and 8,384,421,312 is: 12,879,496,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458,172,926.50 : 8,384,421,312 = 8,384,421,312 : x
  2. Step 2: Convert to fraction form
    5,458,172,926.50/8,384,421,312 = 8,384,421,312/x
  3. Step 3: Cross multiply
    5,458,172,926.50x = 8,384,421,312 × 8,384,421,312
  4. Step 4: Simplify right side
    5,458,172,926.50x = 70,298,520,737,119,797,248
  5. Step 5: Solve for x
    x = 70,298,520,737,119,797,248/5,458,172,926.50
  6. Step 6: Final answer
    x = 12,879,496,799.34

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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.