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Finding the Third Proportional to 475,480,668 and 1,035,373,246

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Solution

The third proportional to 475,480,668 and 1,035,373,246 is: 2,254,555,927.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,480,668 : 1,035,373,246 = 1,035,373,246 : x
  2. Step 2: Convert to fraction form
    475,480,668/1,035,373,246 = 1,035,373,246/x
  3. Step 3: Cross multiply
    475,480,668x = 1,035,373,246 × 1,035,373,246
  4. Step 4: Simplify right side
    475,480,668x = 1,071,997,758,532,576,512
  5. Step 5: Solve for x
    x = 1,071,997,758,532,576,512/475,480,668
  6. Step 6: Final answer
    x = 2,254,555,927.67

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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.