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Finding the Third Proportional to 6,817,871 and 14,581,336

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Solution

The third proportional to 6,817,871 and 14,581,336 is: 31,185,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817,871 : 14,581,336 = 14,581,336 : x
  2. Step 2: Convert to fraction form
    6,817,871/14,581,336 = 14,581,336/x
  3. Step 3: Cross multiply
    6,817,871x = 14,581,336 × 14,581,336
  4. Step 4: Simplify right side
    6,817,871x = 212,615,359,544,896
  5. Step 5: Solve for x
    x = 212,615,359,544,896/6,817,871
  6. Step 6: Final answer
    x = 31,185,007.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.