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Finding the Third Proportional to 16,838,107.50 and 27,117,786

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Solution

The third proportional to 16,838,107.50 and 27,117,786 is: 43,673,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838,107.50 : 27,117,786 = 27,117,786 : x
  2. Step 2: Convert to fraction form
    16,838,107.50/27,117,786 = 27,117,786/x
  3. Step 3: Cross multiply
    16,838,107.50x = 27,117,786 × 27,117,786
  4. Step 4: Simplify right side
    16,838,107.50x = 735,374,317,541,796
  5. Step 5: Solve for x
    x = 735,374,317,541,796/16,838,107.50
  6. Step 6: Final answer
    x = 43,673,216.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.