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Finding the Third Proportional to 436,358,092 and 969,575,984

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Solution

The third proportional to 436,358,092 and 969,575,984 is: 2,154,371,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,358,092 : 969,575,984 = 969,575,984 : x
  2. Step 2: Convert to fraction form
    436,358,092/969,575,984 = 969,575,984/x
  3. Step 3: Cross multiply
    436,358,092x = 969,575,984 × 969,575,984
  4. Step 4: Simplify right side
    436,358,092x = 940,077,588,749,568,256
  5. Step 5: Solve for x
    x = 940,077,588,749,568,256/436,358,092
  6. Step 6: Final answer
    x = 2,154,371,847.31

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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.