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Finding the Third Proportional to 4,218,048 and 9,953,024

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Solution

The third proportional to 4,218,048 and 9,953,024 is: 23,485,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218,048 : 9,953,024 = 9,953,024 : x
  2. Step 2: Convert to fraction form
    4,218,048/9,953,024 = 9,953,024/x
  3. Step 3: Cross multiply
    4,218,048x = 9,953,024 × 9,953,024
  4. Step 4: Simplify right side
    4,218,048x = 99,062,686,744,576
  5. Step 5: Solve for x
    x = 99,062,686,744,576/4,218,048
  6. Step 6: Final answer
    x = 23,485,433.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.