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Finding the Third Proportional to 129,352,173,634 and 281,481,662,586

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Solution

The third proportional to 129,352,173,634 and 281,481,662,586 is: 612,528,758,862.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,352,173,634 : 281,481,662,586 = 281,481,662,586 : x
  2. Step 2: Convert to fraction form
    129,352,173,634/281,481,662,586 = 281,481,662,586/x
  3. Step 3: Cross multiply
    129,352,173,634x = 281,481,662,586 × 281,481,662,586
  4. Step 4: Simplify right side
    129,352,173,634x = 79,231,926,372,178,753,224,704
  5. Step 5: Solve for x
    x = 79,231,926,372,178,753,224,704/129,352,173,634
  6. Step 6: Final answer
    x = 612,528,758,862.33

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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.