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Finding the Third Proportional to 2,202,032.25 and 4,851,083.25

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Solution

The third proportional to 2,202,032.25 and 4,851,083.25 is: 10,686,950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202,032.25 : 4,851,083.25 = 4,851,083.25 : x
  2. Step 2: Convert to fraction form
    2,202,032.25/4,851,083.25 = 4,851,083.25/x
  3. Step 3: Cross multiply
    2,202,032.25x = 4,851,083.25 × 4,851,083.25
  4. Step 4: Simplify right side
    2,202,032.25x = 23,533,008,698,430.56
  5. Step 5: Solve for x
    x = 23,533,008,698,430.56/2,202,032.25
  6. Step 6: Final answer
    x = 10,686,950.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.