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Finding the Third Proportional to 6,443,214 and 13,894,697

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Solution

The third proportional to 6,443,214 and 13,894,697 is: 29,963,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443,214 : 13,894,697 = 13,894,697 : x
  2. Step 2: Convert to fraction form
    6,443,214/13,894,697 = 13,894,697/x
  3. Step 3: Cross multiply
    6,443,214x = 13,894,697 × 13,894,697
  4. Step 4: Simplify right side
    6,443,214x = 193,062,604,721,809
  5. Step 5: Solve for x
    x = 193,062,604,721,809/6,443,214
  6. Step 6: Final answer
    x = 29,963,711.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.