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Finding the Third Proportional to 822,515,542 and 1,780,457,900

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Solution

The third proportional to 822,515,542 and 1,780,457,900 is: 3,854,067,396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,515,542 : 1,780,457,900 = 1,780,457,900 : x
  2. Step 2: Convert to fraction form
    822,515,542/1,780,457,900 = 1,780,457,900/x
  3. Step 3: Cross multiply
    822,515,542x = 1,780,457,900 × 1,780,457,900
  4. Step 4: Simplify right side
    822,515,542x = 3,170,030,333,672,410,112
  5. Step 5: Solve for x
    x = 3,170,030,333,672,410,112/822,515,542
  6. Step 6: Final answer
    x = 3,854,067,396.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.