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Finding the Third Proportional to 8,291,575 and 17,941,272.50

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Solution

The third proportional to 8,291,575 and 17,941,272.50 is: 38,821,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291,575 : 17,941,272.50 = 17,941,272.50 : x
  2. Step 2: Convert to fraction form
    8,291,575/17,941,272.50 = 17,941,272.50/x
  3. Step 3: Cross multiply
    8,291,575x = 17,941,272.50 × 17,941,272.50
  4. Step 4: Simplify right side
    8,291,575x = 321,889,258,919,256.25
  5. Step 5: Solve for x
    x = 321,889,258,919,256.25/8,291,575
  6. Step 6: Final answer
    x = 38,821,244.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.