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Finding the Third Proportional to 3,042,911 and 6,425,347

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Solution

The third proportional to 3,042,911 and 6,425,347 is: 13,567,627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042,911 : 6,425,347 = 6,425,347 : x
  2. Step 2: Convert to fraction form
    3,042,911/6,425,347 = 6,425,347/x
  3. Step 3: Cross multiply
    3,042,911x = 6,425,347 × 6,425,347
  4. Step 4: Simplify right side
    3,042,911x = 41,285,084,070,409
  5. Step 5: Solve for x
    x = 41,285,084,070,409/3,042,911
  6. Step 6: Final answer
    x = 13,567,627.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.