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Finding the Third Proportional to 3,101,167,296 and 6,804,890,271

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Solution

The third proportional to 3,101,167,296 and 6,804,890,271 is: 14,931,968,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,167,296 : 6,804,890,271 = 6,804,890,271 : x
  2. Step 2: Convert to fraction form
    3,101,167,296/6,804,890,271 = 6,804,890,271/x
  3. Step 3: Cross multiply
    3,101,167,296x = 6,804,890,271 × 6,804,890,271
  4. Step 4: Simplify right side
    3,101,167,296x = 46,306,531,600,350,453,760
  5. Step 5: Solve for x
    x = 46,306,531,600,350,453,760/3,101,167,296
  6. Step 6: Final answer
    x = 14,931,968,249.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.