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Finding the Third Proportional to 9,586,324 and 13,483,765

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Solution

The third proportional to 9,586,324 and 13,483,765 is: 18,965,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586,324 : 13,483,765 = 13,483,765 : x
  2. Step 2: Convert to fraction form
    9,586,324/13,483,765 = 13,483,765/x
  3. Step 3: Cross multiply
    9,586,324x = 13,483,765 × 13,483,765
  4. Step 4: Simplify right side
    9,586,324x = 181,811,918,575,225
  5. Step 5: Solve for x
    x = 181,811,918,575,225/9,586,324
  6. Step 6: Final answer
    x = 18,965,759.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.