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Finding the Third Proportional to 2,401,431,497,775 and 3,658,414,775,922

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Solution

The third proportional to 2,401,431,497,775 and 3,658,414,775,922 is: 5,573,341,852,592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401,431,497,775 : 3,658,414,775,922 = 3,658,414,775,922 : x
  2. Step 2: Convert to fraction form
    2,401,431,497,775/3,658,414,775,922 = 3,658,414,775,922/x
  3. Step 3: Cross multiply
    2,401,431,497,775x = 3,658,414,775,922 × 3,658,414,775,922
  4. Step 4: Simplify right side
    2,401,431,497,775x = 13,383,998,672,684,416,606,666,752
  5. Step 5: Solve for x
    x = 13,383,998,672,684,416,606,666,752/2,401,431,497,775
  6. Step 6: Final answer
    x = 5,573,341,852,592.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.