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Finding the Third Proportional to 52,477,401 and 114,184,413

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Solution

The third proportional to 52,477,401 and 114,184,413 is: 248,451,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,477,401 : 114,184,413 = 114,184,413 : x
  2. Step 2: Convert to fraction form
    52,477,401/114,184,413 = 114,184,413/x
  3. Step 3: Cross multiply
    52,477,401x = 114,184,413 × 114,184,413
  4. Step 4: Simplify right side
    52,477,401x = 13,038,080,172,154,568
  5. Step 5: Solve for x
    x = 13,038,080,172,154,568/52,477,401
  6. Step 6: Final answer
    x = 248,451,331.88

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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.