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Finding the Third Proportional to 729,321,499.13 and 1,596,962,000.25

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Solution

The third proportional to 729,321,499.13 and 1,596,962,000.25 is: 3,496,794,806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,321,499.13 : 1,596,962,000.25 = 1,596,962,000.25 : x
  2. Step 2: Convert to fraction form
    729,321,499.13/1,596,962,000.25 = 1,596,962,000.25/x
  3. Step 3: Cross multiply
    729,321,499.13x = 1,596,962,000.25 × 1,596,962,000.25
  4. Step 4: Simplify right side
    729,321,499.13x = 2,550,287,630,242,481,152
  5. Step 5: Solve for x
    x = 2,550,287,630,242,481,152/729,321,499.13
  6. Step 6: Final answer
    x = 3,496,794,806.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.