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Finding the Third Proportional to 4,159,735.50 and 9,085,007.25

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Solution

The third proportional to 4,159,735.50 and 9,085,007.25 is: 19,841,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159,735.50 : 9,085,007.25 = 9,085,007.25 : x
  2. Step 2: Convert to fraction form
    4,159,735.50/9,085,007.25 = 9,085,007.25/x
  3. Step 3: Cross multiply
    4,159,735.50x = 9,085,007.25 × 9,085,007.25
  4. Step 4: Simplify right side
    4,159,735.50x = 82,537,356,732,552.56
  5. Step 5: Solve for x
    x = 82,537,356,732,552.56/4,159,735.50
  6. Step 6: Final answer
    x = 19,841,972.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.