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Finding the Third Proportional to 6,672,063.66 and 14,567,548.78

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Solution

The third proportional to 6,672,063.66 and 14,567,548.78 is: 31,806,272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672,063.66 : 14,567,548.78 = 14,567,548.78 : x
  2. Step 2: Convert to fraction form
    6,672,063.66/14,567,548.78 = 14,567,548.78/x
  3. Step 3: Cross multiply
    6,672,063.66x = 14,567,548.78 × 14,567,548.78
  4. Step 4: Simplify right side
    6,672,063.66x = 212,213,477,494,098.38
  5. Step 5: Solve for x
    x = 212,213,477,494,098.38/6,672,063.66
  6. Step 6: Final answer
    x = 31,806,272.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.