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Finding the Third Proportional to 3,701,840 and 8,254,384.50

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Solution

The third proportional to 3,701,840 and 8,254,384.50 is: 18,405,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701,840 : 8,254,384.50 = 8,254,384.50 : x
  2. Step 2: Convert to fraction form
    3,701,840/8,254,384.50 = 8,254,384.50/x
  3. Step 3: Cross multiply
    3,701,840x = 8,254,384.50 × 8,254,384.50
  4. Step 4: Simplify right side
    3,701,840x = 68,134,863,473,840.25
  5. Step 5: Solve for x
    x = 68,134,863,473,840.25/3,701,840
  6. Step 6: Final answer
    x = 18,405,674.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.