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Finding the Third Proportional to 6,077,326.50 and 12,968,217

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Solution

The third proportional to 6,077,326.50 and 12,968,217 is: 27,672,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077,326.50 : 12,968,217 = 12,968,217 : x
  2. Step 2: Convert to fraction form
    6,077,326.50/12,968,217 = 12,968,217/x
  3. Step 3: Cross multiply
    6,077,326.50x = 12,968,217 × 12,968,217
  4. Step 4: Simplify right side
    6,077,326.50x = 168,174,652,159,089
  5. Step 5: Solve for x
    x = 168,174,652,159,089/6,077,326.50
  6. Step 6: Final answer
    x = 27,672,472.78

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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.