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Finding the Third Proportional to 493,608,621,127.50 and 695,109,709,998

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Solution

The third proportional to 493,608,621,127.50 and 695,109,709,998 is: 978,867,645,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,608,621,127.50 : 695,109,709,998 = 695,109,709,998 : x
  2. Step 2: Convert to fraction form
    493,608,621,127.50/695,109,709,998 = 695,109,709,998/x
  3. Step 3: Cross multiply
    493,608,621,127.50x = 695,109,709,998 × 695,109,709,998
  4. Step 4: Simplify right side
    493,608,621,127.50x = 483,177,508,933,503,660,589,056
  5. Step 5: Solve for x
    x = 483,177,508,933,503,660,589,056/493,608,621,127.50
  6. Step 6: Final answer
    x = 978,867,645,848.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.