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Finding the Third Proportional to 5,484,048,876 and 8,354,569,122

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Solution

The third proportional to 5,484,048,876 and 8,354,569,122 is: 12,727,608,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484,048,876 : 8,354,569,122 = 8,354,569,122 : x
  2. Step 2: Convert to fraction form
    5,484,048,876/8,354,569,122 = 8,354,569,122/x
  3. Step 3: Cross multiply
    5,484,048,876x = 8,354,569,122 × 8,354,569,122
  4. Step 4: Simplify right side
    5,484,048,876x = 69,798,825,214,275,854,336
  5. Step 5: Solve for x
    x = 69,798,825,214,275,854,336/5,484,048,876
  6. Step 6: Final answer
    x = 12,727,608,158.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.