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Finding the Third Proportional to 6,169,841 and 13,287,058

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Solution

The third proportional to 6,169,841 and 13,287,058 is: 28,614,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169,841 : 13,287,058 = 13,287,058 : x
  2. Step 2: Convert to fraction form
    6,169,841/13,287,058 = 13,287,058/x
  3. Step 3: Cross multiply
    6,169,841x = 13,287,058 × 13,287,058
  4. Step 4: Simplify right side
    6,169,841x = 176,545,910,295,364
  5. Step 5: Solve for x
    x = 176,545,910,295,364/6,169,841
  6. Step 6: Final answer
    x = 28,614,337.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.