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Finding the Third Proportional to 7,424,288 and 16,212,160

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Solution

The third proportional to 7,424,288 and 16,212,160 is: 35,401,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424,288 : 16,212,160 = 16,212,160 : x
  2. Step 2: Convert to fraction form
    7,424,288/16,212,160 = 16,212,160/x
  3. Step 3: Cross multiply
    7,424,288x = 16,212,160 × 16,212,160
  4. Step 4: Simplify right side
    7,424,288x = 262,834,131,865,600
  5. Step 5: Solve for x
    x = 262,834,131,865,600/7,424,288
  6. Step 6: Final answer
    x = 35,401,931.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.