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Finding the Third Proportional to 7,884,476 and 16,946,800

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Solution

The third proportional to 7,884,476 and 16,946,800 is: 36,425,252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884,476 : 16,946,800 = 16,946,800 : x
  2. Step 2: Convert to fraction form
    7,884,476/16,946,800 = 16,946,800/x
  3. Step 3: Cross multiply
    7,884,476x = 16,946,800 × 16,946,800
  4. Step 4: Simplify right side
    7,884,476x = 287,194,030,240,000
  5. Step 5: Solve for x
    x = 287,194,030,240,000/7,884,476
  6. Step 6: Final answer
    x = 36,425,252.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.