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Finding the Third Proportional to 9,734,786 and 15,133,165

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Solution

The third proportional to 9,734,786 and 15,133,165 is: 23,525,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734,786 : 15,133,165 = 15,133,165 : x
  2. Step 2: Convert to fraction form
    9,734,786/15,133,165 = 15,133,165/x
  3. Step 3: Cross multiply
    9,734,786x = 15,133,165 × 15,133,165
  4. Step 4: Simplify right side
    9,734,786x = 229,012,682,917,225
  5. Step 5: Solve for x
    x = 229,012,682,917,225/9,734,786
  6. Step 6: Final answer
    x = 23,525,189.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.