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Finding the Third Proportional to 9,646,259.50 and 21,235,601

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Solution

The third proportional to 9,646,259.50 and 21,235,601 is: 46,748,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,259.50 : 21,235,601 = 21,235,601 : x
  2. Step 2: Convert to fraction form
    9,646,259.50/21,235,601 = 21,235,601/x
  3. Step 3: Cross multiply
    9,646,259.50x = 21,235,601 × 21,235,601
  4. Step 4: Simplify right side
    9,646,259.50x = 450,950,749,831,201
  5. Step 5: Solve for x
    x = 450,950,749,831,201/9,646,259.50
  6. Step 6: Final answer
    x = 46,748,768.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.