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Finding the Third Proportional to 9,466,970 and 20,735,992

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Solution

The third proportional to 9,466,970 and 20,735,992 is: 45,419,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466,970 : 20,735,992 = 20,735,992 : x
  2. Step 2: Convert to fraction form
    9,466,970/20,735,992 = 20,735,992/x
  3. Step 3: Cross multiply
    9,466,970x = 20,735,992 × 20,735,992
  4. Step 4: Simplify right side
    9,466,970x = 429,981,364,224,064
  5. Step 5: Solve for x
    x = 429,981,364,224,064/9,466,970
  6. Step 6: Final answer
    x = 45,419,111.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.