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Finding the Third Proportional to 6,077,323.50 and 12,968,211

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Solution

The third proportional to 6,077,323.50 and 12,968,211 is: 27,672,460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077,323.50 : 12,968,211 = 12,968,211 : x
  2. Step 2: Convert to fraction form
    6,077,323.50/12,968,211 = 12,968,211/x
  3. Step 3: Cross multiply
    6,077,323.50x = 12,968,211 × 12,968,211
  4. Step 4: Simplify right side
    6,077,323.50x = 168,174,496,540,521
  5. Step 5: Solve for x
    x = 168,174,496,540,521/6,077,323.50
  6. Step 6: Final answer
    x = 27,672,460.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.