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Finding the Third Proportional to 993,215,984 and 2,341,285,856

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Solution

The third proportional to 993,215,984 and 2,341,285,856 is: 5,519,060,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,215,984 : 2,341,285,856 = 2,341,285,856 : x
  2. Step 2: Convert to fraction form
    993,215,984/2,341,285,856 = 2,341,285,856/x
  3. Step 3: Cross multiply
    993,215,984x = 2,341,285,856 × 2,341,285,856
  4. Step 4: Simplify right side
    993,215,984x = 5,481,619,459,505,652,736
  5. Step 5: Solve for x
    x = 5,481,619,459,505,652,736/993,215,984
  6. Step 6: Final answer
    x = 5,519,060,856.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.