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Finding the Third Proportional to 11,196,574,470 and 24,054,775,812

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Solution

The third proportional to 11,196,574,470 and 24,054,775,812 is: 51,679,398,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196,574,470 : 24,054,775,812 = 24,054,775,812 : x
  2. Step 2: Convert to fraction form
    11,196,574,470/24,054,775,812 = 24,054,775,812/x
  3. Step 3: Cross multiply
    11,196,574,470x = 24,054,775,812 × 24,054,775,812
  4. Step 4: Simplify right side
    11,196,574,470x = 578,632,239,365,580,259,328
  5. Step 5: Solve for x
    x = 578,632,239,365,580,259,328/11,196,574,470
  6. Step 6: Final answer
    x = 51,679,398,990.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.