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Finding the Third Proportional to 3,101,045 and 6,577,738

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Solution

The third proportional to 3,101,045 and 6,577,738 is: 13,952,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,045 : 6,577,738 = 6,577,738 : x
  2. Step 2: Convert to fraction form
    3,101,045/6,577,738 = 6,577,738/x
  3. Step 3: Cross multiply
    3,101,045x = 6,577,738 × 6,577,738
  4. Step 4: Simplify right side
    3,101,045x = 43,266,637,196,644
  5. Step 5: Solve for x
    x = 43,266,637,196,644/3,101,045
  6. Step 6: Final answer
    x = 13,952,276.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.