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Finding the Third Proportional to 12,142,053 and 24,771,849.75

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Solution

The third proportional to 12,142,053 and 24,771,849.75 is: 50,538,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142,053 : 24,771,849.75 = 24,771,849.75 : x
  2. Step 2: Convert to fraction form
    12,142,053/24,771,849.75 = 24,771,849.75/x
  3. Step 3: Cross multiply
    12,142,053x = 24,771,849.75 × 24,771,849.75
  4. Step 4: Simplify right side
    12,142,053x = 613,644,540,036,575
  5. Step 5: Solve for x
    x = 613,644,540,036,575/12,142,053
  6. Step 6: Final answer
    x = 50,538,779.57

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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.