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Finding the Third Proportional to 5,794,683,174 and 12,552,033,577.50

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Solution

The third proportional to 5,794,683,174 and 12,552,033,577.50 is: 27,189,328,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794,683,174 : 12,552,033,577.50 = 12,552,033,577.50 : x
  2. Step 2: Convert to fraction form
    5,794,683,174/12,552,033,577.50 = 12,552,033,577.50/x
  3. Step 3: Cross multiply
    5,794,683,174x = 12,552,033,577.50 × 12,552,033,577.50
  4. Step 4: Simplify right side
    5,794,683,174x = 157,553,546,930,687,442,944
  5. Step 5: Solve for x
    x = 157,553,546,930,687,442,944/5,794,683,174
  6. Step 6: Final answer
    x = 27,189,328,941.68

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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.