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Finding the Third Proportional to 436,358,096 and 969,575,992

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Solution

The third proportional to 436,358,096 and 969,575,992 is: 2,154,371,863.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,358,096 : 969,575,992 = 969,575,992 : x
  2. Step 2: Convert to fraction form
    436,358,096/969,575,992 = 969,575,992/x
  3. Step 3: Cross multiply
    436,358,096x = 969,575,992 × 969,575,992
  4. Step 4: Simplify right side
    436,358,096x = 940,077,604,262,784,000
  5. Step 5: Solve for x
    x = 940,077,604,262,784,000/436,358,096
  6. Step 6: Final answer
    x = 2,154,371,863.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.