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Finding the Third Proportional to 6,033,769 and 13,195,523

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Solution

The third proportional to 6,033,769 and 13,195,523 is: 28,857,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033,769 : 13,195,523 = 13,195,523 : x
  2. Step 2: Convert to fraction form
    6,033,769/13,195,523 = 13,195,523/x
  3. Step 3: Cross multiply
    6,033,769x = 13,195,523 × 13,195,523
  4. Step 4: Simplify right side
    6,033,769x = 174,121,827,243,529
  5. Step 5: Solve for x
    x = 174,121,827,243,529/6,033,769
  6. Step 6: Final answer
    x = 28,857,887.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.