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Finding the Third Proportional to 566,526,933 and 1,219,147,296

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Solution

The third proportional to 566,526,933 and 1,219,147,296 is: 2,623,564,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,526,933 : 1,219,147,296 = 1,219,147,296 : x
  2. Step 2: Convert to fraction form
    566,526,933/1,219,147,296 = 1,219,147,296/x
  3. Step 3: Cross multiply
    566,526,933x = 1,219,147,296 × 1,219,147,296
  4. Step 4: Simplify right side
    566,526,933x = 1,486,320,129,344,111,616
  5. Step 5: Solve for x
    x = 1,486,320,129,344,111,616/566,526,933
  6. Step 6: Final answer
    x = 2,623,564,817.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.