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Finding the Third Proportional to 6,490,212 and 13,849,107

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Solution

The third proportional to 6,490,212 and 13,849,107 is: 29,551,848.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490,212 : 13,849,107 = 13,849,107 : x
  2. Step 2: Convert to fraction form
    6,490,212/13,849,107 = 13,849,107/x
  3. Step 3: Cross multiply
    6,490,212x = 13,849,107 × 13,849,107
  4. Step 4: Simplify right side
    6,490,212x = 191,797,764,697,449
  5. Step 5: Solve for x
    x = 191,797,764,697,449/6,490,212
  6. Step 6: Final answer
    x = 29,551,848.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.