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Finding the Third Proportional to 24,185,419,680 and 53,019,885,228

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Solution

The third proportional to 24,185,419,680 and 53,019,885,228 is: 116,231,525,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,185,419,680 : 53,019,885,228 = 53,019,885,228 : x
  2. Step 2: Convert to fraction form
    24,185,419,680/53,019,885,228 = 53,019,885,228/x
  3. Step 3: Cross multiply
    24,185,419,680x = 53,019,885,228 × 53,019,885,228
  4. Step 4: Simplify right side
    24,185,419,680x = 2,811,108,229,590,292,627,456
  5. Step 5: Solve for x
    x = 2,811,108,229,590,292,627,456/24,185,419,680
  6. Step 6: Final answer
    x = 116,231,525,720.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.