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Finding the Third Proportional to 6,116,404 and 9,174,012.50

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Solution

The third proportional to 6,116,404 and 9,174,012.50 is: 13,760,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116,404 : 9,174,012.50 = 9,174,012.50 : x
  2. Step 2: Convert to fraction form
    6,116,404/9,174,012.50 = 9,174,012.50/x
  3. Step 3: Cross multiply
    6,116,404x = 9,174,012.50 × 9,174,012.50
  4. Step 4: Simplify right side
    6,116,404x = 84,162,505,350,156.25
  5. Step 5: Solve for x
    x = 84,162,505,350,156.25/6,116,404
  6. Step 6: Final answer
    x = 13,760,128.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.