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Finding the Third Proportional to 6,009,438 and 12,733,964

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Solution

The third proportional to 6,009,438 and 12,733,964 is: 26,983,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009,438 : 12,733,964 = 12,733,964 : x
  2. Step 2: Convert to fraction form
    6,009,438/12,733,964 = 12,733,964/x
  3. Step 3: Cross multiply
    6,009,438x = 12,733,964 × 12,733,964
  4. Step 4: Simplify right side
    6,009,438x = 162,153,839,153,296
  5. Step 5: Solve for x
    x = 162,153,839,153,296/6,009,438
  6. Step 6: Final answer
    x = 26,983,195.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.