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Finding the Third Proportional to 9,264,019 and 20,122,804.50

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Solution

The third proportional to 9,264,019 and 20,122,804.50 is: 43,709,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264,019 : 20,122,804.50 = 20,122,804.50 : x
  2. Step 2: Convert to fraction form
    9,264,019/20,122,804.50 = 20,122,804.50/x
  3. Step 3: Cross multiply
    9,264,019x = 20,122,804.50 × 20,122,804.50
  4. Step 4: Simplify right side
    9,264,019x = 404,927,260,945,220.25
  5. Step 5: Solve for x
    x = 404,927,260,945,220.25/9,264,019
  6. Step 6: Final answer
    x = 43,709,675.14

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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.