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Finding the Third Proportional to 3,142,500 and 5,020,900.50

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Solution

The third proportional to 3,142,500 and 5,020,900.50 is: 8,022,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142,500 : 5,020,900.50 = 5,020,900.50 : x
  2. Step 2: Convert to fraction form
    3,142,500/5,020,900.50 = 5,020,900.50/x
  3. Step 3: Cross multiply
    3,142,500x = 5,020,900.50 × 5,020,900.50
  4. Step 4: Simplify right side
    3,142,500x = 25,209,441,830,900.25
  5. Step 5: Solve for x
    x = 25,209,441,830,900.25/3,142,500
  6. Step 6: Final answer
    x = 8,022,097.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.