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Finding the Third Proportional to 2,357,990.37 and 5,052,129.47

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Solution

The third proportional to 2,357,990.37 and 5,052,129.47 is: 10,824,476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357,990.37 : 5,052,129.47 = 5,052,129.47 : x
  2. Step 2: Convert to fraction form
    2,357,990.37/5,052,129.47 = 5,052,129.47/x
  3. Step 3: Cross multiply
    2,357,990.37x = 5,052,129.47 × 5,052,129.47
  4. Step 4: Simplify right side
    2,357,990.37x = 25,524,012,169,012.16
  5. Step 5: Solve for x
    x = 25,524,012,169,012.16/2,357,990.37
  6. Step 6: Final answer
    x = 10,824,476.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.