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Finding the Third Proportional to 20,747,232 and 33,335,146.13

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Solution

The third proportional to 20,747,232 and 33,335,146.13 is: 53,560,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,747,232 : 33,335,146.13 = 33,335,146.13 : x
  2. Step 2: Convert to fraction form
    20,747,232/33,335,146.13 = 33,335,146.13/x
  3. Step 3: Cross multiply
    20,747,232x = 33,335,146.13 × 33,335,146.13
  4. Step 4: Simplify right side
    20,747,232x = 1,111,231,967,175,102.50
  5. Step 5: Solve for x
    x = 1,111,231,967,175,102.50/20,747,232
  6. Step 6: Final answer
    x = 53,560,492.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.