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Finding the Third Proportional to 7,099,930.34 and 15,546,575.21

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Solution

The third proportional to 7,099,930.34 and 15,546,575.21 is: 34,042,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099,930.34 : 15,546,575.21 = 15,546,575.21 : x
  2. Step 2: Convert to fraction form
    7,099,930.34/15,546,575.21 = 15,546,575.21/x
  3. Step 3: Cross multiply
    7,099,930.34x = 15,546,575.21 × 15,546,575.21
  4. Step 4: Simplify right side
    7,099,930.34x = 241,696,000,910,770.66
  5. Step 5: Solve for x
    x = 241,696,000,910,770.66/7,099,930.34
  6. Step 6: Final answer
    x = 34,042,024.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.