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Finding the Third Proportional to 903,860,745.75 and 1,958,555,243.25

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Solution

The third proportional to 903,860,745.75 and 1,958,555,243.25 is: 4,243,948,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,860,745.75 : 1,958,555,243.25 = 1,958,555,243.25 : x
  2. Step 2: Convert to fraction form
    903,860,745.75/1,958,555,243.25 = 1,958,555,243.25/x
  3. Step 3: Cross multiply
    903,860,745.75x = 1,958,555,243.25 × 1,958,555,243.25
  4. Step 4: Simplify right side
    903,860,745.75x = 3,835,938,640,862,066,688
  5. Step 5: Solve for x
    x = 3,835,938,640,862,066,688/903,860,745.75
  6. Step 6: Final answer
    x = 4,243,948,704.38

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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.