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Finding the Third Proportional to 12,142,125 and 24,771,984

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Solution

The third proportional to 12,142,125 and 24,771,984 is: 50,539,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142,125 : 24,771,984 = 24,771,984 : x
  2. Step 2: Convert to fraction form
    12,142,125/24,771,984 = 24,771,984/x
  3. Step 3: Cross multiply
    12,142,125x = 24,771,984 × 24,771,984
  4. Step 4: Simplify right side
    12,142,125x = 613,651,191,296,256
  5. Step 5: Solve for x
    x = 613,651,191,296,256/12,142,125
  6. Step 6: Final answer
    x = 50,539,027.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.