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Finding the Third Proportional to 3,461,914.50 and 8,013,706.50

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Solution

The third proportional to 3,461,914.50 and 8,013,706.50 is: 18,550,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461,914.50 : 8,013,706.50 = 8,013,706.50 : x
  2. Step 2: Convert to fraction form
    3,461,914.50/8,013,706.50 = 8,013,706.50/x
  3. Step 3: Cross multiply
    3,461,914.50x = 8,013,706.50 × 8,013,706.50
  4. Step 4: Simplify right side
    3,461,914.50x = 64,219,491,868,142.25
  5. Step 5: Solve for x
    x = 64,219,491,868,142.25/3,461,914.50
  6. Step 6: Final answer
    x = 18,550,282.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.