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Finding the Third Proportional to 591,488,384 and 1,318,978,816

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Solution

The third proportional to 591,488,384 and 1,318,978,816 is: 2,941,232,937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,488,384 : 1,318,978,816 = 1,318,978,816 : x
  2. Step 2: Convert to fraction form
    591,488,384/1,318,978,816 = 1,318,978,816/x
  3. Step 3: Cross multiply
    591,488,384x = 1,318,978,816 × 1,318,978,816
  4. Step 4: Simplify right side
    591,488,384x = 1,739,705,117,056,761,856
  5. Step 5: Solve for x
    x = 1,739,705,117,056,761,856/591,488,384
  6. Step 6: Final answer
    x = 2,941,232,937.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.