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Finding the Third Proportional to 4,699,271 and 7,477,464

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Solution

The third proportional to 4,699,271 and 7,477,464 is: 11,898,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699,271 : 7,477,464 = 7,477,464 : x
  2. Step 2: Convert to fraction form
    4,699,271/7,477,464 = 7,477,464/x
  3. Step 3: Cross multiply
    4,699,271x = 7,477,464 × 7,477,464
  4. Step 4: Simplify right side
    4,699,271x = 55,912,467,871,296
  5. Step 5: Solve for x
    x = 55,912,467,871,296/4,699,271
  6. Step 6: Final answer
    x = 11,898,115.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.