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Finding the Third Proportional to 11,649,974,586 and 25,674,585,024

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Solution

The third proportional to 11,649,974,586 and 25,674,585,024 is: 56,582,468,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649,974,586 : 25,674,585,024 = 25,674,585,024 : x
  2. Step 2: Convert to fraction form
    11,649,974,586/25,674,585,024 = 25,674,585,024/x
  3. Step 3: Cross multiply
    11,649,974,586x = 25,674,585,024 × 25,674,585,024
  4. Step 4: Simplify right side
    11,649,974,586x = 659,184,316,154,605,076,480
  5. Step 5: Solve for x
    x = 659,184,316,154,605,076,480/11,649,974,586
  6. Step 6: Final answer
    x = 56,582,468,166.65

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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.