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Finding the Third Proportional to 4,258,575 and 9,235,883.25

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Solution

The third proportional to 4,258,575 and 9,235,883.25 is: 20,030,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258,575 : 9,235,883.25 = 9,235,883.25 : x
  2. Step 2: Convert to fraction form
    4,258,575/9,235,883.25 = 9,235,883.25/x
  3. Step 3: Cross multiply
    4,258,575x = 9,235,883.25 × 9,235,883.25
  4. Step 4: Simplify right side
    4,258,575x = 85,301,539,407,630.56
  5. Step 5: Solve for x
    x = 85,301,539,407,630.56/4,258,575
  6. Step 6: Final answer
    x = 20,030,535.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.