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Finding the Third Proportional to 17,237,635,465.01 and 24,263,811,503.12

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Solution

The third proportional to 17,237,635,465.01 and 24,263,811,503.12 is: 34,153,904,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,237,635,465.01 : 24,263,811,503.12 = 24,263,811,503.12 : x
  2. Step 2: Convert to fraction form
    17,237,635,465.01/24,263,811,503.12 = 24,263,811,503.12/x
  3. Step 3: Cross multiply
    17,237,635,465.01x = 24,263,811,503.12 × 24,263,811,503.12
  4. Step 4: Simplify right side
    17,237,635,465.01x = 588,732,548,658,986,876,928
  5. Step 5: Solve for x
    x = 588,732,548,658,986,876,928/17,237,635,465.01
  6. Step 6: Final answer
    x = 34,153,904,104.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.