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Finding the Third Proportional to 33,547,471 and 73,375,991

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Solution

The third proportional to 33,547,471 and 73,375,991 is: 160,490,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547,471 : 73,375,991 = 73,375,991 : x
  2. Step 2: Convert to fraction form
    33,547,471/73,375,991 = 73,375,991/x
  3. Step 3: Cross multiply
    33,547,471x = 73,375,991 × 73,375,991
  4. Step 4: Simplify right side
    33,547,471x = 5,384,036,055,232,081
  5. Step 5: Solve for x
    x = 5,384,036,055,232,081/33,547,471
  6. Step 6: Final answer
    x = 160,490,072.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.