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Finding the Third Proportional to 13,946,024 and 30,208,378

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Solution

The third proportional to 13,946,024 and 30,208,378 is: 65,434,141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946,024 : 30,208,378 = 30,208,378 : x
  2. Step 2: Convert to fraction form
    13,946,024/30,208,378 = 30,208,378/x
  3. Step 3: Cross multiply
    13,946,024x = 30,208,378 × 30,208,378
  4. Step 4: Simplify right side
    13,946,024x = 912,546,101,390,884
  5. Step 5: Solve for x
    x = 912,546,101,390,884/13,946,024
  6. Step 6: Final answer
    x = 65,434,141.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.