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Finding the Third Proportional to 11,649,974,844 and 25,674,585,552

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Solution

The third proportional to 11,649,974,844 and 25,674,585,552 is: 56,582,469,240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649,974,844 : 25,674,585,552 = 25,674,585,552 : x
  2. Step 2: Convert to fraction form
    11,649,974,844/25,674,585,552 = 25,674,585,552/x
  3. Step 3: Cross multiply
    11,649,974,844x = 25,674,585,552 × 25,674,585,552
  4. Step 4: Simplify right side
    11,649,974,844x = 659,184,343,266,967,158,784
  5. Step 5: Solve for x
    x = 659,184,343,266,967,158,784/11,649,974,844
  6. Step 6: Final answer
    x = 56,582,469,240.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.