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Finding the Third Proportional to 10,149,901 and 13,824,786

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Solution

The third proportional to 10,149,901 and 13,824,786 is: 18,830,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149,901 : 13,824,786 = 13,824,786 : x
  2. Step 2: Convert to fraction form
    10,149,901/13,824,786 = 13,824,786/x
  3. Step 3: Cross multiply
    10,149,901x = 13,824,786 × 13,824,786
  4. Step 4: Simplify right side
    10,149,901x = 191,124,707,945,796
  5. Step 5: Solve for x
    x = 191,124,707,945,796/10,149,901
  6. Step 6: Final answer
    x = 18,830,204.15

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Why These Related Problems?

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