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Finding the Third Proportional to 50,769,072 and 77,343,984

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Solution

The third proportional to 50,769,072 and 77,343,984 is: 117,829,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,769,072 : 77,343,984 = 77,343,984 : x
  2. Step 2: Convert to fraction form
    50,769,072/77,343,984 = 77,343,984/x
  3. Step 3: Cross multiply
    50,769,072x = 77,343,984 × 77,343,984
  4. Step 4: Simplify right side
    50,769,072x = 5,982,091,860,992,256
  5. Step 5: Solve for x
    x = 5,982,091,860,992,256/50,769,072
  6. Step 6: Final answer
    x = 117,829,450.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.