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Finding the Third Proportional to 317,033,159 and 642,980,570

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Solution

The third proportional to 317,033,159 and 642,980,570 is: 1,304,040,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,033,159 : 642,980,570 = 642,980,570 : x
  2. Step 2: Convert to fraction form
    317,033,159/642,980,570 = 642,980,570/x
  3. Step 3: Cross multiply
    317,033,159x = 642,980,570 × 642,980,570
  4. Step 4: Simplify right side
    317,033,159x = 413,424,013,397,524,928
  5. Step 5: Solve for x
    x = 413,424,013,397,524,928/317,033,159
  6. Step 6: Final answer
    x = 1,304,040,292.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.