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Finding the Third Proportional to 11,649,974,590 and 25,674,585,032

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Solution

The third proportional to 11,649,974,590 and 25,674,585,032 is: 56,582,468,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649,974,590 : 25,674,585,032 = 25,674,585,032 : x
  2. Step 2: Convert to fraction form
    11,649,974,590/25,674,585,032 = 25,674,585,032/x
  3. Step 3: Cross multiply
    11,649,974,590x = 25,674,585,032 × 25,674,585,032
  4. Step 4: Simplify right side
    11,649,974,590x = 659,184,316,565,398,487,040
  5. Step 5: Solve for x
    x = 659,184,316,565,398,487,040/11,649,974,590
  6. Step 6: Final answer
    x = 56,582,468,182.48

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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.