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Finding the Third Proportional to 4,661,130 and 10,169,592

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Solution

The third proportional to 4,661,130 and 10,169,592 is: 22,187,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661,130 : 10,169,592 = 10,169,592 : x
  2. Step 2: Convert to fraction form
    4,661,130/10,169,592 = 10,169,592/x
  3. Step 3: Cross multiply
    4,661,130x = 10,169,592 × 10,169,592
  4. Step 4: Simplify right side
    4,661,130x = 103,420,601,446,464
  5. Step 5: Solve for x
    x = 103,420,601,446,464/4,661,130
  6. Step 6: Final answer
    x = 22,187,881.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.