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Finding the Third Proportional to 21,143,524.22 and 33,643,853.16

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Solution

The third proportional to 21,143,524.22 and 33,643,853.16 is: 53,534,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143,524.22 : 33,643,853.16 = 33,643,853.16 : x
  2. Step 2: Convert to fraction form
    21,143,524.22/33,643,853.16 = 33,643,853.16/x
  3. Step 3: Cross multiply
    21,143,524.22x = 33,643,853.16 × 33,643,853.16
  4. Step 4: Simplify right side
    21,143,524.22x = 1,131,908,855,199,313
  5. Step 5: Solve for x
    x = 1,131,908,855,199,313/21,143,524.22
  6. Step 6: Final answer
    x = 53,534,540.58

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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.