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Finding the Third Proportional to 6,856,609.50 and 14,280,722.72

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Solution

The third proportional to 6,856,609.50 and 14,280,722.72 is: 29,743,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856,609.50 : 14,280,722.72 = 14,280,722.72 : x
  2. Step 2: Convert to fraction form
    6,856,609.50/14,280,722.72 = 14,280,722.72/x
  3. Step 3: Cross multiply
    6,856,609.50x = 14,280,722.72 × 14,280,722.72
  4. Step 4: Simplify right side
    6,856,609.50x = 203,939,041,369,822.41
  5. Step 5: Solve for x
    x = 203,939,041,369,822.41/6,856,609.50
  6. Step 6: Final answer
    x = 29,743,423.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.