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Finding the Third Proportional to 6,009,349.50 and 12,231,070.88

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Solution

The third proportional to 6,009,349.50 and 12,231,070.88 is: 24,894,390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009,349.50 : 12,231,070.88 = 12,231,070.88 : x
  2. Step 2: Convert to fraction form
    6,009,349.50/12,231,070.88 = 12,231,070.88/x
  3. Step 3: Cross multiply
    6,009,349.50x = 12,231,070.88 × 12,231,070.88
  4. Step 4: Simplify right side
    6,009,349.50x = 149,599,094,749,273.25
  5. Step 5: Solve for x
    x = 149,599,094,749,273.25/6,009,349.50
  6. Step 6: Final answer
    x = 24,894,390.77

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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.