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Finding the Third Proportional to 4,863,901 and 10,641,966

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Solution

The third proportional to 4,863,901 and 10,641,966 is: 23,284,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863,901 : 10,641,966 = 10,641,966 : x
  2. Step 2: Convert to fraction form
    4,863,901/10,641,966 = 10,641,966/x
  3. Step 3: Cross multiply
    4,863,901x = 10,641,966 × 10,641,966
  4. Step 4: Simplify right side
    4,863,901x = 113,251,440,345,156
  5. Step 5: Solve for x
    x = 113,251,440,345,156/4,863,901
  6. Step 6: Final answer
    x = 23,284,075.96

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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.