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Finding the Third Proportional to 3,129,011 and 6,497,827

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Solution

The third proportional to 3,129,011 and 6,497,827 is: 13,493,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129,011 : 6,497,827 = 6,497,827 : x
  2. Step 2: Convert to fraction form
    3,129,011/6,497,827 = 6,497,827/x
  3. Step 3: Cross multiply
    3,129,011x = 6,497,827 × 6,497,827
  4. Step 4: Simplify right side
    3,129,011x = 42,221,755,721,929
  5. Step 5: Solve for x
    x = 42,221,755,721,929/3,129,011
  6. Step 6: Final answer
    x = 13,493,642.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.