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Finding the Third Proportional to 2,959,050 and 6,367,528.50

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Solution

The third proportional to 2,959,050 and 6,367,528.50 is: 13,702,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959,050 : 6,367,528.50 = 6,367,528.50 : x
  2. Step 2: Convert to fraction form
    2,959,050/6,367,528.50 = 6,367,528.50/x
  3. Step 3: Cross multiply
    2,959,050x = 6,367,528.50 × 6,367,528.50
  4. Step 4: Simplify right side
    2,959,050x = 40,545,419,198,312.25
  5. Step 5: Solve for x
    x = 40,545,419,198,312.25/2,959,050
  6. Step 6: Final answer
    x = 13,702,174.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.