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Finding the Third Proportional to 2,463,914,860,840.80 and 3,622,064,147,663.80

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Solution

The third proportional to 2,463,914,860,840.80 and 3,622,064,147,663.80 is: 5,324,594,976,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463,914,860,840.80 : 3,622,064,147,663.80 = 3,622,064,147,663.80 : x
  2. Step 2: Convert to fraction form
    2,463,914,860,840.80/3,622,064,147,663.80 = 3,622,064,147,663.80/x
  3. Step 3: Cross multiply
    2,463,914,860,840.80x = 3,622,064,147,663.80 × 3,622,064,147,663.80
  4. Step 4: Simplify right side
    2,463,914,860,840.80x = 13,119,348,689,791,488,660,340,736
  5. Step 5: Solve for x
    x = 13,119,348,689,791,488,660,340,736/2,463,914,860,840.80
  6. Step 6: Final answer
    x = 5,324,594,976,189.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.