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Finding the Third Proportional to 5,238,428.06 and 7,825,381.31

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Solution

The third proportional to 5,238,428.06 and 7,825,381.31 is: 11,689,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238,428.06 : 7,825,381.31 = 7,825,381.31 : x
  2. Step 2: Convert to fraction form
    5,238,428.06/7,825,381.31 = 7,825,381.31/x
  3. Step 3: Cross multiply
    5,238,428.06x = 7,825,381.31 × 7,825,381.31
  4. Step 4: Simplify right side
    5,238,428.06x = 61,236,592,686,024.22
  5. Step 5: Solve for x
    x = 61,236,592,686,024.22/5,238,428.06
  6. Step 6: Final answer
    x = 11,689,879.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.