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Finding the Third Proportional to 5,929,186 and 12,928,964

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Solution

The third proportional to 5,929,186 and 12,928,964 is: 28,192,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929,186 : 12,928,964 = 12,928,964 : x
  2. Step 2: Convert to fraction form
    5,929,186/12,928,964 = 12,928,964/x
  3. Step 3: Cross multiply
    5,929,186x = 12,928,964 × 12,928,964
  4. Step 4: Simplify right side
    5,929,186x = 167,158,110,113,296
  5. Step 5: Solve for x
    x = 167,158,110,113,296/5,929,186
  6. Step 6: Final answer
    x = 28,192,421.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.