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Finding the Third Proportional to 1,036,533,750 and 1,589,444,973

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Solution

The third proportional to 1,036,533,750 and 1,589,444,973 is: 2,437,291,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,533,750 : 1,589,444,973 = 1,589,444,973 : x
  2. Step 2: Convert to fraction form
    1,036,533,750/1,589,444,973 = 1,589,444,973/x
  3. Step 3: Cross multiply
    1,036,533,750x = 1,589,444,973 × 1,589,444,973
  4. Step 4: Simplify right side
    1,036,533,750x = 2,526,335,322,194,970,624
  5. Step 5: Solve for x
    x = 2,526,335,322,194,970,624/1,036,533,750
  6. Step 6: Final answer
    x = 2,437,291,908.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.