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Finding the Third Proportional to 13,821,176 and 30,073,202

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Solution

The third proportional to 13,821,176 and 30,073,202 is: 65,435,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821,176 : 30,073,202 = 30,073,202 : x
  2. Step 2: Convert to fraction form
    13,821,176/30,073,202 = 30,073,202/x
  3. Step 3: Cross multiply
    13,821,176x = 30,073,202 × 30,073,202
  4. Step 4: Simplify right side
    13,821,176x = 904,397,478,532,804
  5. Step 5: Solve for x
    x = 904,397,478,532,804/13,821,176
  6. Step 6: Final answer
    x = 65,435,638.66

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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.