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Finding the Third Proportional to 500,343,054,781.75 and 704,593,276,466.75

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Solution

The third proportional to 500,343,054,781.75 and 704,593,276,466.75 is: 992,222,597,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,343,054,781.75 : 704,593,276,466.75 = 704,593,276,466.75 : x
  2. Step 2: Convert to fraction form
    500,343,054,781.75/704,593,276,466.75 = 704,593,276,466.75/x
  3. Step 3: Cross multiply
    500,343,054,781.75x = 704,593,276,466.75 × 704,593,276,466.75
  4. Step 4: Simplify right side
    500,343,054,781.75x = 496,451,685,242,150,015,991,808
  5. Step 5: Solve for x
    x = 496,451,685,242,150,015,991,808/500,343,054,781.75
  6. Step 6: Final answer
    x = 992,222,597,071.33

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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.