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Finding the Third Proportional to 665,509,040 and 1,436,241,952

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Solution

The third proportional to 665,509,040 and 1,436,241,952 is: 3,099,568,631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,509,040 : 1,436,241,952 = 1,436,241,952 : x
  2. Step 2: Convert to fraction form
    665,509,040/1,436,241,952 = 1,436,241,952/x
  3. Step 3: Cross multiply
    665,509,040x = 1,436,241,952 × 1,436,241,952
  4. Step 4: Simplify right side
    665,509,040x = 2,062,790,944,684,770,304
  5. Step 5: Solve for x
    x = 2,062,790,944,684,770,304/665,509,040
  6. Step 6: Final answer
    x = 3,099,568,631.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.