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Finding the Third Proportional to 10,149,903 and 13,824,789

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Solution

The third proportional to 10,149,903 and 13,824,789 is: 18,830,208.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149,903 : 13,824,789 = 13,824,789 : x
  2. Step 2: Convert to fraction form
    10,149,903/13,824,789 = 13,824,789/x
  3. Step 3: Cross multiply
    10,149,903x = 13,824,789 × 13,824,789
  4. Step 4: Simplify right side
    10,149,903x = 191,124,790,894,521
  5. Step 5: Solve for x
    x = 191,124,790,894,521/10,149,903
  6. Step 6: Final answer
    x = 18,830,208.61

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.