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Finding the Third Proportional to 2,964,664 and 6,471,476

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Solution

The third proportional to 2,964,664 and 6,471,476 is: 14,126,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964,664 : 6,471,476 = 6,471,476 : x
  2. Step 2: Convert to fraction form
    2,964,664/6,471,476 = 6,471,476/x
  3. Step 3: Cross multiply
    2,964,664x = 6,471,476 × 6,471,476
  4. Step 4: Simplify right side
    2,964,664x = 41,880,001,618,576
  5. Step 5: Solve for x
    x = 41,880,001,618,576/2,964,664
  6. Step 6: Final answer
    x = 14,126,390.59

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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.