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Finding the Third Proportional to 4,593,024 and 10,727,964

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Solution

The third proportional to 4,593,024 and 10,727,964 is: 25,057,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593,024 : 10,727,964 = 10,727,964 : x
  2. Step 2: Convert to fraction form
    4,593,024/10,727,964 = 10,727,964/x
  3. Step 3: Cross multiply
    4,593,024x = 10,727,964 × 10,727,964
  4. Step 4: Simplify right side
    4,593,024x = 115,089,211,585,296
  5. Step 5: Solve for x
    x = 115,089,211,585,296/4,593,024
  6. Step 6: Final answer
    x = 25,057,393.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.