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Finding the Third Proportional to 7,227,315 and 14,271,846

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Solution

The third proportional to 7,227,315 and 14,271,846 is: 28,182,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227,315 : 14,271,846 = 14,271,846 : x
  2. Step 2: Convert to fraction form
    7,227,315/14,271,846 = 14,271,846/x
  3. Step 3: Cross multiply
    7,227,315x = 14,271,846 × 14,271,846
  4. Step 4: Simplify right side
    7,227,315x = 203,685,588,247,716
  5. Step 5: Solve for x
    x = 203,685,588,247,716/7,227,315
  6. Step 6: Final answer
    x = 28,182,746.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.