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Finding the Third Proportional to 6,429,324 and 13,753,476

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Solution

The third proportional to 6,429,324 and 13,753,476 is: 29,421,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429,324 : 13,753,476 = 13,753,476 : x
  2. Step 2: Convert to fraction form
    6,429,324/13,753,476 = 13,753,476/x
  3. Step 3: Cross multiply
    6,429,324x = 13,753,476 × 13,753,476
  4. Step 4: Simplify right side
    6,429,324x = 189,158,102,082,576
  5. Step 5: Solve for x
    x = 189,158,102,082,576/6,429,324
  6. Step 6: Final answer
    x = 29,421,149.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.