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Finding the Third Proportional to 9,576,640 and 20,672,624

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Solution

The third proportional to 9,576,640 and 20,672,624 is: 44,624,981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576,640 : 20,672,624 = 20,672,624 : x
  2. Step 2: Convert to fraction form
    9,576,640/20,672,624 = 20,672,624/x
  3. Step 3: Cross multiply
    9,576,640x = 20,672,624 × 20,672,624
  4. Step 4: Simplify right side
    9,576,640x = 427,357,383,045,376
  5. Step 5: Solve for x
    x = 427,357,383,045,376/9,576,640
  6. Step 6: Final answer
    x = 44,624,981.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.