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Finding the Third Proportional to 2,671,124 and 6,299,107

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Solution

The third proportional to 2,671,124 and 6,299,107 is: 14,854,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671,124 : 6,299,107 = 6,299,107 : x
  2. Step 2: Convert to fraction form
    2,671,124/6,299,107 = 6,299,107/x
  3. Step 3: Cross multiply
    2,671,124x = 6,299,107 × 6,299,107
  4. Step 4: Simplify right side
    2,671,124x = 39,678,748,997,449
  5. Step 5: Solve for x
    x = 39,678,748,997,449/2,671,124
  6. Step 6: Final answer
    x = 14,854,701.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.