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Finding the Third Proportional to 6,306,178,296 and 8,869,217,856

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Solution

The third proportional to 6,306,178,296 and 8,869,217,856 is: 12,473,961,515.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,178,296 : 8,869,217,856 = 8,869,217,856 : x
  2. Step 2: Convert to fraction form
    6,306,178,296/8,869,217,856 = 8,869,217,856/x
  3. Step 3: Cross multiply
    6,306,178,296x = 8,869,217,856 × 8,869,217,856
  4. Step 4: Simplify right side
    6,306,178,296x = 78,663,025,377,189,232,640
  5. Step 5: Solve for x
    x = 78,663,025,377,189,232,640/6,306,178,296
  6. Step 6: Final answer
    x = 12,473,961,515.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.