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Finding the Third Proportional to 2,216,220.75 and 4,852,816.31

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Solution

The third proportional to 2,216,220.75 and 4,852,816.31 is: 10,626,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216,220.75 : 4,852,816.31 = 4,852,816.31 : x
  2. Step 2: Convert to fraction form
    2,216,220.75/4,852,816.31 = 4,852,816.31/x
  3. Step 3: Cross multiply
    2,216,220.75x = 4,852,816.31 × 4,852,816.31
  4. Step 4: Simplify right side
    2,216,220.75x = 23,549,826,162,866.10
  5. Step 5: Solve for x
    x = 23,549,826,162,866.10/2,216,220.75
  6. Step 6: Final answer
    x = 10,626,119.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.