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Finding the Third Proportional to 4,112,169 and 8,910,786

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Solution

The third proportional to 4,112,169 and 8,910,786 is: 19,309,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112,169 : 8,910,786 = 8,910,786 : x
  2. Step 2: Convert to fraction form
    4,112,169/8,910,786 = 8,910,786/x
  3. Step 3: Cross multiply
    4,112,169x = 8,910,786 × 8,910,786
  4. Step 4: Simplify right side
    4,112,169x = 79,402,107,137,796
  5. Step 5: Solve for x
    x = 79,402,107,137,796/4,112,169
  6. Step 6: Final answer
    x = 19,309,057.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.