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Finding the Third Proportional to 21,548,785,339 and 50,347,685,770

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Solution

The third proportional to 21,548,785,339 and 50,347,685,770 is: 117,634,911,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548,785,339 : 50,347,685,770 = 50,347,685,770 : x
  2. Step 2: Convert to fraction form
    21,548,785,339/50,347,685,770 = 50,347,685,770/x
  3. Step 3: Cross multiply
    21,548,785,339x = 50,347,685,770 × 50,347,685,770
  4. Step 4: Simplify right side
    21,548,785,339x = 2,534,889,462,394,660,585,472
  5. Step 5: Solve for x
    x = 2,534,889,462,394,660,585,472/21,548,785,339
  6. Step 6: Final answer
    x = 117,634,911,783.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.