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Finding the Third Proportional to 6,289,758 and 13,757,202

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Solution

The third proportional to 6,289,758 and 13,757,202 is: 30,090,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289,758 : 13,757,202 = 13,757,202 : x
  2. Step 2: Convert to fraction form
    6,289,758/13,757,202 = 13,757,202/x
  3. Step 3: Cross multiply
    6,289,758x = 13,757,202 × 13,757,202
  4. Step 4: Simplify right side
    6,289,758x = 189,260,606,868,804
  5. Step 5: Solve for x
    x = 189,260,606,868,804/6,289,758
  6. Step 6: Final answer
    x = 30,090,284.37

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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.