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Finding the Third Proportional to 52,477,391 and 114,184,414

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Solution

The third proportional to 52,477,391 and 114,184,414 is: 248,451,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,477,391 : 114,184,414 = 114,184,414 : x
  2. Step 2: Convert to fraction form
    52,477,391/114,184,414 = 114,184,414/x
  3. Step 3: Cross multiply
    52,477,391x = 114,184,414 × 114,184,414
  4. Step 4: Simplify right side
    52,477,391x = 13,038,080,400,523,396
  5. Step 5: Solve for x
    x = 13,038,080,400,523,396/52,477,391
  6. Step 6: Final answer
    x = 248,451,383.58

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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.