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Finding the Third Proportional to 6,401,382 and 13,901,748

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Solution

The third proportional to 6,401,382 and 13,901,748 is: 30,190,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401,382 : 13,901,748 = 13,901,748 : x
  2. Step 2: Convert to fraction form
    6,401,382/13,901,748 = 13,901,748/x
  3. Step 3: Cross multiply
    6,401,382x = 13,901,748 × 13,901,748
  4. Step 4: Simplify right side
    6,401,382x = 193,258,597,455,504
  5. Step 5: Solve for x
    x = 193,258,597,455,504/6,401,382
  6. Step 6: Final answer
    x = 30,190,136.67

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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.