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Finding the Third Proportional to 34,930,185,519 and 75,980,497,353

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Solution

The third proportional to 34,930,185,519 and 75,980,497,353 is: 165,273,556,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,930,185,519 : 75,980,497,353 = 75,980,497,353 : x
  2. Step 2: Convert to fraction form
    34,930,185,519/75,980,497,353 = 75,980,497,353/x
  3. Step 3: Cross multiply
    34,930,185,519x = 75,980,497,353 × 75,980,497,353
  4. Step 4: Simplify right side
    34,930,185,519x = 5,773,035,978,009,240,141,824
  5. Step 5: Solve for x
    x = 5,773,035,978,009,240,141,824/34,930,185,519
  6. Step 6: Final answer
    x = 165,273,556,158.73

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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.