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Finding the Third Proportional to 9,804,688 and 14,647,704

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Solution

The third proportional to 9,804,688 and 14,647,704 is: 21,882,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804,688 : 14,647,704 = 14,647,704 : x
  2. Step 2: Convert to fraction form
    9,804,688/14,647,704 = 14,647,704/x
  3. Step 3: Cross multiply
    9,804,688x = 14,647,704 × 14,647,704
  4. Step 4: Simplify right side
    9,804,688x = 214,555,232,471,616
  5. Step 5: Solve for x
    x = 214,555,232,471,616/9,804,688
  6. Step 6: Final answer
    x = 21,882,922.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.