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Finding the Third Proportional to 1,489,308,366 and 2,399,672,511

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Solution

The third proportional to 1,489,308,366 and 2,399,672,511 is: 3,866,511,658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489,308,366 : 2,399,672,511 = 2,399,672,511 : x
  2. Step 2: Convert to fraction form
    1,489,308,366/2,399,672,511 = 2,399,672,511/x
  3. Step 3: Cross multiply
    1,489,308,366x = 2,399,672,511 × 2,399,672,511
  4. Step 4: Simplify right side
    1,489,308,366x = 5,758,428,160,049,045,504
  5. Step 5: Solve for x
    x = 5,758,428,160,049,045,504/1,489,308,366
  6. Step 6: Final answer
    x = 3,866,511,658.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.