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Finding the Third Proportional to 129,352,173,626 and 281,481,662,570

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Solution

The third proportional to 129,352,173,626 and 281,481,662,570 is: 612,528,758,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,352,173,626 : 281,481,662,570 = 281,481,662,570 : x
  2. Step 2: Convert to fraction form
    129,352,173,626/281,481,662,570 = 281,481,662,570/x
  3. Step 3: Cross multiply
    129,352,173,626x = 281,481,662,570 × 281,481,662,570
  4. Step 4: Simplify right side
    129,352,173,626x = 79,231,926,363,171,334,389,760
  5. Step 5: Solve for x
    x = 79,231,926,363,171,334,389,760/129,352,173,626
  6. Step 6: Final answer
    x = 612,528,758,830.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.