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Finding the Third Proportional to 7,447,385 and 16,221,858

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Solution

The third proportional to 7,447,385 and 16,221,858 is: 35,334,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447,385 : 16,221,858 = 16,221,858 : x
  2. Step 2: Convert to fraction form
    7,447,385/16,221,858 = 16,221,858/x
  3. Step 3: Cross multiply
    7,447,385x = 16,221,858 × 16,221,858
  4. Step 4: Simplify right side
    7,447,385x = 263,148,676,972,164
  5. Step 5: Solve for x
    x = 263,148,676,972,164/7,447,385
  6. Step 6: Final answer
    x = 35,334,372.67

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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.