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Finding the Third Proportional to 3,148,408 and 6,958,364

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Solution

The third proportional to 3,148,408 and 6,958,364 is: 15,378,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148,408 : 6,958,364 = 6,958,364 : x
  2. Step 2: Convert to fraction form
    3,148,408/6,958,364 = 6,958,364/x
  3. Step 3: Cross multiply
    3,148,408x = 6,958,364 × 6,958,364
  4. Step 4: Simplify right side
    3,148,408x = 48,418,829,556,496
  5. Step 5: Solve for x
    x = 48,418,829,556,496/3,148,408
  6. Step 6: Final answer
    x = 15,378,829.41

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.