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Finding the Third Proportional to 11,608,649,548 and 23,704,551,024

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Solution

The third proportional to 11,608,649,548 and 23,704,551,024 is: 48,404,057,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608,649,548 : 23,704,551,024 = 23,704,551,024 : x
  2. Step 2: Convert to fraction form
    11,608,649,548/23,704,551,024 = 23,704,551,024/x
  3. Step 3: Cross multiply
    11,608,649,548x = 23,704,551,024 × 23,704,551,024
  4. Step 4: Simplify right side
    11,608,649,548x = 561,905,739,249,419,419,648
  5. Step 5: Solve for x
    x = 561,905,739,249,419,419,648/11,608,649,548
  6. Step 6: Final answer
    x = 48,404,057,416.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.