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Finding the Third Proportional to 576,254,032 and 1,261,797,152

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Solution

The third proportional to 576,254,032 and 1,261,797,152 is: 2,762,899,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,254,032 : 1,261,797,152 = 1,261,797,152 : x
  2. Step 2: Convert to fraction form
    576,254,032/1,261,797,152 = 1,261,797,152/x
  3. Step 3: Cross multiply
    576,254,032x = 1,261,797,152 × 1,261,797,152
  4. Step 4: Simplify right side
    576,254,032x = 1,592,132,052,795,311,104
  5. Step 5: Solve for x
    x = 1,592,132,052,795,311,104/576,254,032
  6. Step 6: Final answer
    x = 2,762,899,631.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.