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Finding the Third Proportional to 4,562,416,360,274 and 9,787,142,003,062

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Solution

The third proportional to 4,562,416,360,274 and 9,787,142,003,062 is: 20,995,047,585,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562,416,360,274 : 9,787,142,003,062 = 9,787,142,003,062 : x
  2. Step 2: Convert to fraction form
    4,562,416,360,274/9,787,142,003,062 = 9,787,142,003,062/x
  3. Step 3: Cross multiply
    4,562,416,360,274x = 9,787,142,003,062 × 9,787,142,003,062
  4. Step 4: Simplify right side
    4,562,416,360,274x = 95,788,148,588,100,453,895,503,872
  5. Step 5: Solve for x
    x = 95,788,148,588,100,453,895,503,872/4,562,416,360,274
  6. Step 6: Final answer
    x = 20,995,047,585,343.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.