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Finding the Third Proportional to 2,980,588.50 and 6,635,683.50

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Solution

The third proportional to 2,980,588.50 and 6,635,683.50 is: 14,773,020.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980,588.50 : 6,635,683.50 = 6,635,683.50 : x
  2. Step 2: Convert to fraction form
    2,980,588.50/6,635,683.50 = 6,635,683.50/x
  3. Step 3: Cross multiply
    2,980,588.50x = 6,635,683.50 × 6,635,683.50
  4. Step 4: Simplify right side
    2,980,588.50x = 44,032,295,512,172.25
  5. Step 5: Solve for x
    x = 44,032,295,512,172.25/2,980,588.50
  6. Step 6: Final answer
    x = 14,773,020.67

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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.