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Finding the Third Proportional to 21,548,785,343 and 50,347,685,780

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Solution

The third proportional to 21,548,785,343 and 50,347,685,780 is: 117,634,911,808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548,785,343 : 50,347,685,780 = 50,347,685,780 : x
  2. Step 2: Convert to fraction form
    21,548,785,343/50,347,685,780 = 50,347,685,780/x
  3. Step 3: Cross multiply
    21,548,785,343x = 50,347,685,780 × 50,347,685,780
  4. Step 4: Simplify right side
    21,548,785,343x = 2,534,889,463,401,614,409,728
  5. Step 5: Solve for x
    x = 2,534,889,463,401,614,409,728/21,548,785,343
  6. Step 6: Final answer
    x = 117,634,911,808.39

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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.