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Finding the Third Proportional to 75,561,448,189 and 165,357,082,106

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Solution

The third proportional to 75,561,448,189 and 165,357,082,106 is: 361,863,956,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,561,448,189 : 165,357,082,106 = 165,357,082,106 : x
  2. Step 2: Convert to fraction form
    75,561,448,189/165,357,082,106 = 165,357,082,106/x
  3. Step 3: Cross multiply
    75,561,448,189x = 165,357,082,106 × 165,357,082,106
  4. Step 4: Simplify right side
    75,561,448,189x = 27,342,964,602,610,424,741,888
  5. Step 5: Solve for x
    x = 27,342,964,602,610,424,741,888/75,561,448,189
  6. Step 6: Final answer
    x = 361,863,956,527.38

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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.