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Finding the Third Proportional to 6,835,580.81 and 14,844,732.56

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Solution

The third proportional to 6,835,580.81 and 14,844,732.56 is: 32,238,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835,580.81 : 14,844,732.56 = 14,844,732.56 : x
  2. Step 2: Convert to fraction form
    6,835,580.81/14,844,732.56 = 14,844,732.56/x
  3. Step 3: Cross multiply
    6,835,580.81x = 14,844,732.56 × 14,844,732.56
  4. Step 4: Simplify right side
    6,835,580.81x = 220,366,084,852,147.81
  5. Step 5: Solve for x
    x = 220,366,084,852,147.81/6,835,580.81
  6. Step 6: Final answer
    x = 32,238,092.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.