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Finding the Third Proportional to 4,136,820,189 and 5,804,777,649

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Solution

The third proportional to 4,136,820,189 and 5,804,777,649 is: 8,145,252,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136,820,189 : 5,804,777,649 = 5,804,777,649 : x
  2. Step 2: Convert to fraction form
    4,136,820,189/5,804,777,649 = 5,804,777,649/x
  3. Step 3: Cross multiply
    4,136,820,189x = 5,804,777,649 × 5,804,777,649
  4. Step 4: Simplify right side
    4,136,820,189x = 33,695,443,554,329,968,640
  5. Step 5: Solve for x
    x = 33,695,443,554,329,968,640/4,136,820,189
  6. Step 6: Final answer
    x = 8,145,252,153.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.