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Finding the Third Proportional to 523,835,297.44 and 1,140,672,768.19

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Solution

The third proportional to 523,835,297.44 and 1,140,672,768.19 is: 2,483,861,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,835,297.44 : 1,140,672,768.19 = 1,140,672,768.19 : x
  2. Step 2: Convert to fraction form
    523,835,297.44/1,140,672,768.19 = 1,140,672,768.19/x
  3. Step 3: Cross multiply
    523,835,297.44x = 1,140,672,768.19 × 1,140,672,768.19
  4. Step 4: Simplify right side
    523,835,297.44x = 1,301,134,364,084,534,016
  5. Step 5: Solve for x
    x = 1,301,134,364,084,534,016/523,835,297.44
  6. Step 6: Final answer
    x = 2,483,861,569.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.