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Finding the Third Proportional to 13,263,012 and 21,090,165.75

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Solution

The third proportional to 13,263,012 and 21,090,165.75 is: 33,536,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,263,012 : 21,090,165.75 = 21,090,165.75 : x
  2. Step 2: Convert to fraction form
    13,263,012/21,090,165.75 = 21,090,165.75/x
  3. Step 3: Cross multiply
    13,263,012x = 21,090,165.75 × 21,090,165.75
  4. Step 4: Simplify right side
    13,263,012x = 444,795,091,362,473.06
  5. Step 5: Solve for x
    x = 444,795,091,362,473.06/13,263,012
  6. Step 6: Final answer
    x = 33,536,506.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.