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Finding the Third Proportional to 9,097,970 and 20,015,514

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Solution

The third proportional to 9,097,970 and 20,015,514 is: 44,034,086.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097,970 : 20,015,514 = 20,015,514 : x
  2. Step 2: Convert to fraction form
    9,097,970/20,015,514 = 20,015,514/x
  3. Step 3: Cross multiply
    9,097,970x = 20,015,514 × 20,015,514
  4. Step 4: Simplify right side
    9,097,970x = 400,620,800,684,196
  5. Step 5: Solve for x
    x = 400,620,800,684,196/9,097,970
  6. Step 6: Final answer
    x = 44,034,086.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.