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Finding the Third Proportional to 50,769,834 and 77,344,842

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Solution

The third proportional to 50,769,834 and 77,344,842 is: 117,830,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,769,834 : 77,344,842 = 77,344,842 : x
  2. Step 2: Convert to fraction form
    50,769,834/77,344,842 = 77,344,842/x
  3. Step 3: Cross multiply
    50,769,834x = 77,344,842 × 77,344,842
  4. Step 4: Simplify right side
    50,769,834x = 5,982,224,584,004,964
  5. Step 5: Solve for x
    x = 5,982,224,584,004,964/50,769,834
  6. Step 6: Final answer
    x = 117,830,296.31

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