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Finding the Third Proportional to 597,379,514.25 and 935,043,023.25

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Solution

The third proportional to 597,379,514.25 and 935,043,023.25 is: 1,463,567,856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,379,514.25 : 935,043,023.25 = 935,043,023.25 : x
  2. Step 2: Convert to fraction form
    597,379,514.25/935,043,023.25 = 935,043,023.25/x
  3. Step 3: Cross multiply
    597,379,514.25x = 935,043,023.25 × 935,043,023.25
  4. Step 4: Simplify right side
    597,379,514.25x = 874,305,455,328,500,096
  5. Step 5: Solve for x
    x = 874,305,455,328,500,096/597,379,514.25
  6. Step 6: Final answer
    x = 1,463,567,856.74

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.