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Finding the Third Proportional to 9,656,640 and 20,974,024

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Solution

The third proportional to 9,656,640 and 20,974,024 is: 45,555,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656,640 : 20,974,024 = 20,974,024 : x
  2. Step 2: Convert to fraction form
    9,656,640/20,974,024 = 20,974,024/x
  3. Step 3: Cross multiply
    9,656,640x = 20,974,024 × 20,974,024
  4. Step 4: Simplify right side
    9,656,640x = 439,909,682,752,576
  5. Step 5: Solve for x
    x = 439,909,682,752,576/9,656,640
  6. Step 6: Final answer
    x = 45,555,149.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.