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Finding the Third Proportional to 4,051,680 and 8,645,682

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Solution

The third proportional to 4,051,680 and 8,645,682 is: 18,448,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051,680 : 8,645,682 = 8,645,682 : x
  2. Step 2: Convert to fraction form
    4,051,680/8,645,682 = 8,645,682/x
  3. Step 3: Cross multiply
    4,051,680x = 8,645,682 × 8,645,682
  4. Step 4: Simplify right side
    4,051,680x = 74,747,817,245,124
  5. Step 5: Solve for x
    x = 74,747,817,245,124/4,051,680
  6. Step 6: Final answer
    x = 18,448,598.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.