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Finding the Third Proportional to 2,725,827.19 and 5,946,771.94

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Solution

The third proportional to 2,725,827.19 and 5,946,771.94 is: 12,973,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725,827.19 : 5,946,771.94 = 5,946,771.94 : x
  2. Step 2: Convert to fraction form
    2,725,827.19/5,946,771.94 = 5,946,771.94/x
  3. Step 3: Cross multiply
    2,725,827.19x = 5,946,771.94 × 5,946,771.94
  4. Step 4: Simplify right side
    2,725,827.19x = 35,364,096,476,637.50
  5. Step 5: Solve for x
    x = 35,364,096,476,637.50/2,725,827.19
  6. Step 6: Final answer
    x = 12,973,711.85

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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.