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Finding the Third Proportional to 7,073,942 and 14,408,014

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Solution

The third proportional to 7,073,942 and 14,408,014 is: 29,345,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073,942 : 14,408,014 = 14,408,014 : x
  2. Step 2: Convert to fraction form
    7,073,942/14,408,014 = 14,408,014/x
  3. Step 3: Cross multiply
    7,073,942x = 14,408,014 × 14,408,014
  4. Step 4: Simplify right side
    7,073,942x = 207,590,867,424,196
  5. Step 5: Solve for x
    x = 207,590,867,424,196/7,073,942
  6. Step 6: Final answer
    x = 29,345,853.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.