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Finding the Third Proportional to 7,676,596 and 16,416,073

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Solution

The third proportional to 7,676,596 and 16,416,073 is: 35,105,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676,596 : 16,416,073 = 16,416,073 : x
  2. Step 2: Convert to fraction form
    7,676,596/16,416,073 = 16,416,073/x
  3. Step 3: Cross multiply
    7,676,596x = 16,416,073 × 16,416,073
  4. Step 4: Simplify right side
    7,676,596x = 269,487,452,741,329
  5. Step 5: Solve for x
    x = 269,487,452,741,329/7,676,596
  6. Step 6: Final answer
    x = 35,105,071.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.