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Finding the Third Proportional to 38,583,834,165 and 83,579,107,498

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Solution

The third proportional to 38,583,834,165 and 83,579,107,498 is: 181,046,476,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,583,834,165 : 83,579,107,498 = 83,579,107,498 : x
  2. Step 2: Convert to fraction form
    38,583,834,165/83,579,107,498 = 83,579,107,498/x
  3. Step 3: Cross multiply
    38,583,834,165x = 83,579,107,498 × 83,579,107,498
  4. Step 4: Simplify right side
    38,583,834,165x = 6,985,467,210,162,239,438,848
  5. Step 5: Solve for x
    x = 6,985,467,210,162,239,438,848/38,583,834,165
  6. Step 6: Final answer
    x = 181,046,476,104.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.