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Finding the Third Proportional to 34,930,173,249 and 75,980,474,289

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Solution

The third proportional to 34,930,173,249 and 75,980,474,289 is: 165,273,513,876.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,930,173,249 : 75,980,474,289 = 75,980,474,289 : x
  2. Step 2: Convert to fraction form
    34,930,173,249/75,980,474,289 = 75,980,474,289/x
  3. Step 3: Cross multiply
    34,930,173,249x = 75,980,474,289 × 75,980,474,289
  4. Step 4: Simplify right side
    34,930,173,249x = 5,773,032,473,181,390,110,720
  5. Step 5: Solve for x
    x = 5,773,032,473,181,390,110,720/34,930,173,249
  6. Step 6: Final answer
    x = 165,273,513,876.62

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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.