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Finding the Third Proportional to 12,142,134 and 24,772,000.50

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Solution

The third proportional to 12,142,134 and 24,772,000.50 is: 50,539,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142,134 : 24,772,000.50 = 24,772,000.50 : x
  2. Step 2: Convert to fraction form
    12,142,134/24,772,000.50 = 24,772,000.50/x
  3. Step 3: Cross multiply
    12,142,134x = 24,772,000.50 × 24,772,000.50
  4. Step 4: Simplify right side
    12,142,134x = 613,652,008,772,000.25
  5. Step 5: Solve for x
    x = 613,652,008,772,000.25/12,142,134
  6. Step 6: Final answer
    x = 50,539,057.53

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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.