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Finding the Third Proportional to 1,455,455,225 and 2,376,376,191

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Solution

The third proportional to 1,455,455,225 and 2,376,376,191 is: 3,879,998,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455,455,225 : 2,376,376,191 = 2,376,376,191 : x
  2. Step 2: Convert to fraction form
    1,455,455,225/2,376,376,191 = 2,376,376,191/x
  3. Step 3: Cross multiply
    1,455,455,225x = 2,376,376,191 × 2,376,376,191
  4. Step 4: Simplify right side
    1,455,455,225x = 5,647,163,801,151,668,224
  5. Step 5: Solve for x
    x = 5,647,163,801,151,668,224/1,455,455,225
  6. Step 6: Final answer
    x = 3,879,998,301.67

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.