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Finding the Third Proportional to 8,202,498.75 and 17,948,999.25

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Solution

The third proportional to 8,202,498.75 and 17,948,999.25 is: 39,276,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202,498.75 : 17,948,999.25 = 17,948,999.25 : x
  2. Step 2: Convert to fraction form
    8,202,498.75/17,948,999.25 = 17,948,999.25/x
  3. Step 3: Cross multiply
    8,202,498.75x = 17,948,999.25 × 17,948,999.25
  4. Step 4: Simplify right side
    8,202,498.75x = 322,166,574,076,500.56
  5. Step 5: Solve for x
    x = 322,166,574,076,500.56/8,202,498.75
  6. Step 6: Final answer
    x = 39,276,638.00

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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.