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Finding the Third Proportional to 6,269,123.25 and 12,803,913

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Solution

The third proportional to 6,269,123.25 and 12,803,913 is: 26,150,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269,123.25 : 12,803,913 = 12,803,913 : x
  2. Step 2: Convert to fraction form
    6,269,123.25/12,803,913 = 12,803,913/x
  3. Step 3: Cross multiply
    6,269,123.25x = 12,803,913 × 12,803,913
  4. Step 4: Simplify right side
    6,269,123.25x = 163,940,188,111,569
  5. Step 5: Solve for x
    x = 163,940,188,111,569/6,269,123.25
  6. Step 6: Final answer
    x = 26,150,417.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.