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Finding the Third Proportional to 4,640,644,774 and 7,360,350,546

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Solution

The third proportional to 4,640,644,774 and 7,360,350,546 is: 11,673,972,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640,644,774 : 7,360,350,546 = 7,360,350,546 : x
  2. Step 2: Convert to fraction form
    4,640,644,774/7,360,350,546 = 7,360,350,546/x
  3. Step 3: Cross multiply
    4,640,644,774x = 7,360,350,546 × 7,360,350,546
  4. Step 4: Simplify right side
    4,640,644,774x = 54,174,760,160,002,498,560
  5. Step 5: Solve for x
    x = 54,174,760,160,002,498,560/4,640,644,774
  6. Step 6: Final answer
    x = 11,673,972,647.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.