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Finding the Third Proportional to 2,212,393.50 and 4,863,829.50

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Solution

The third proportional to 2,212,393.50 and 4,863,829.50 is: 10,692,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212,393.50 : 4,863,829.50 = 4,863,829.50 : x
  2. Step 2: Convert to fraction form
    2,212,393.50/4,863,829.50 = 4,863,829.50/x
  3. Step 3: Cross multiply
    2,212,393.50x = 4,863,829.50 × 4,863,829.50
  4. Step 4: Simplify right side
    2,212,393.50x = 23,656,837,405,070.25
  5. Step 5: Solve for x
    x = 23,656,837,405,070.25/2,212,393.50
  6. Step 6: Final answer
    x = 10,692,870.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.