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Finding the Third Proportional to 3,213,462,354.75 and 4,963,457,493

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Solution

The third proportional to 3,213,462,354.75 and 4,963,457,493 is: 7,666,469,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213,462,354.75 : 4,963,457,493 = 4,963,457,493 : x
  2. Step 2: Convert to fraction form
    3,213,462,354.75/4,963,457,493 = 4,963,457,493/x
  3. Step 3: Cross multiply
    3,213,462,354.75x = 4,963,457,493 × 4,963,457,493
  4. Step 4: Simplify right side
    3,213,462,354.75x = 24,635,910,284,817,846,272
  5. Step 5: Solve for x
    x = 24,635,910,284,817,846,272/3,213,462,354.75
  6. Step 6: Final answer
    x = 7,666,469,236.34

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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.