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Finding the Third Proportional to 7,946,520 and 17,163,201

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Solution

The third proportional to 7,946,520 and 17,163,201 is: 37,069,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946,520 : 17,163,201 = 17,163,201 : x
  2. Step 2: Convert to fraction form
    7,946,520/17,163,201 = 17,163,201/x
  3. Step 3: Cross multiply
    7,946,520x = 17,163,201 × 17,163,201
  4. Step 4: Simplify right side
    7,946,520x = 294,575,468,566,401
  5. Step 5: Solve for x
    x = 294,575,468,566,401/7,946,520
  6. Step 6: Final answer
    x = 37,069,744.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.