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Finding the Third Proportional to 23,507,841 and 35,617,291.50

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Solution

The third proportional to 23,507,841 and 35,617,291.50 is: 53,964,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507,841 : 35,617,291.50 = 35,617,291.50 : x
  2. Step 2: Convert to fraction form
    23,507,841/35,617,291.50 = 35,617,291.50/x
  3. Step 3: Cross multiply
    23,507,841x = 35,617,291.50 × 35,617,291.50
  4. Step 4: Simplify right side
    23,507,841x = 1,268,591,453,795,972.25
  5. Step 5: Solve for x
    x = 1,268,591,453,795,972.25/23,507,841
  6. Step 6: Final answer
    x = 53,964,609.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.