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Finding the Third Proportional to 17,935,618,851 and 38,532,941,239

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Solution

The third proportional to 17,935,618,851 and 38,532,941,239 is: 82,784,294,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,935,618,851 : 38,532,941,239 = 38,532,941,239 : x
  2. Step 2: Convert to fraction form
    17,935,618,851/38,532,941,239 = 38,532,941,239/x
  3. Step 3: Cross multiply
    17,935,618,851x = 38,532,941,239 × 38,532,941,239
  4. Step 4: Simplify right side
    17,935,618,851x = 1,484,787,560,528,226,811,904
  5. Step 5: Solve for x
    x = 1,484,787,560,528,226,811,904/17,935,618,851
  6. Step 6: Final answer
    x = 82,784,294,919.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.