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Finding the Third Proportional to 3,427,306 and 7,527,205

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Solution

The third proportional to 3,427,306 and 7,527,205 is: 16,531,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427,306 : 7,527,205 = 7,527,205 : x
  2. Step 2: Convert to fraction form
    3,427,306/7,527,205 = 7,527,205/x
  3. Step 3: Cross multiply
    3,427,306x = 7,527,205 × 7,527,205
  4. Step 4: Simplify right side
    3,427,306x = 56,658,815,112,025
  5. Step 5: Solve for x
    x = 56,658,815,112,025/3,427,306
  6. Step 6: Final answer
    x = 16,531,589.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.