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Finding the Third Proportional to 1,643,080,476 and 3,653,530,296

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Solution

The third proportional to 1,643,080,476 and 3,653,530,296 is: 8,123,937,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643,080,476 : 3,653,530,296 = 3,653,530,296 : x
  2. Step 2: Convert to fraction form
    1,643,080,476/3,653,530,296 = 3,653,530,296/x
  3. Step 3: Cross multiply
    1,643,080,476x = 3,653,530,296 × 3,653,530,296
  4. Step 4: Simplify right side
    1,643,080,476x = 13,348,283,623,789,848,576
  5. Step 5: Solve for x
    x = 13,348,283,623,789,848,576/1,643,080,476
  6. Step 6: Final answer
    x = 8,123,937,822.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.