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Finding the Third Proportional to 17,822,592 and 38,203,085.25

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Solution

The third proportional to 17,822,592 and 38,203,085.25 is: 81,889,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822,592 : 38,203,085.25 = 38,203,085.25 : x
  2. Step 2: Convert to fraction form
    17,822,592/38,203,085.25 = 38,203,085.25/x
  3. Step 3: Cross multiply
    17,822,592x = 38,203,085.25 × 38,203,085.25
  4. Step 4: Simplify right side
    17,822,592x = 1,459,475,722,618,767.50
  5. Step 5: Solve for x
    x = 1,459,475,722,618,767.50/17,822,592
  6. Step 6: Final answer
    x = 81,889,083.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.