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Finding the Third Proportional to 2,610,912,080 and 5,635,297,836

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Solution

The third proportional to 2,610,912,080 and 5,635,297,836 is: 12,163,022,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610,912,080 : 5,635,297,836 = 5,635,297,836 : x
  2. Step 2: Convert to fraction form
    2,610,912,080/5,635,297,836 = 5,635,297,836/x
  3. Step 3: Cross multiply
    2,610,912,080x = 5,635,297,836 × 5,635,297,836
  4. Step 4: Simplify right side
    2,610,912,080x = 31,756,581,700,426,280,960
  5. Step 5: Solve for x
    x = 31,756,581,700,426,280,960/2,610,912,080
  6. Step 6: Final answer
    x = 12,163,022,241.80

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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.