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Finding the Third Proportional to 5,363,309,664 and 11,546,300,000

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Solution

The third proportional to 5,363,309,664 and 11,546,300,000 is: 24,857,234,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363,309,664 : 11,546,300,000 = 11,546,300,000 : x
  2. Step 2: Convert to fraction form
    5,363,309,664/11,546,300,000 = 11,546,300,000/x
  3. Step 3: Cross multiply
    5,363,309,664x = 11,546,300,000 × 11,546,300,000
  4. Step 4: Simplify right side
    5,363,309,664x = 133,317,043,690,000,007,168
  5. Step 5: Solve for x
    x = 133,317,043,690,000,007,168/5,363,309,664
  6. Step 6: Final answer
    x = 24,857,234,066.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.