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Finding the Third Proportional to 7,477,578 and 16,267,356

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Solution

The third proportional to 7,477,578 and 16,267,356 is: 35,389,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477,578 : 16,267,356 = 16,267,356 : x
  2. Step 2: Convert to fraction form
    7,477,578/16,267,356 = 16,267,356/x
  3. Step 3: Cross multiply
    7,477,578x = 16,267,356 × 16,267,356
  4. Step 4: Simplify right side
    7,477,578x = 264,626,871,230,736
  5. Step 5: Solve for x
    x = 264,626,871,230,736/7,477,578
  6. Step 6: Final answer
    x = 35,389,382.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.