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Finding the Third Proportional to 75,839,824 and 114,556,748

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Solution

The third proportional to 75,839,824 and 114,556,748 is: 173,039,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,839,824 : 114,556,748 = 114,556,748 : x
  2. Step 2: Convert to fraction form
    75,839,824/114,556,748 = 114,556,748/x
  3. Step 3: Cross multiply
    75,839,824x = 114,556,748 × 114,556,748
  4. Step 4: Simplify right side
    75,839,824x = 13,123,248,512,335,504
  5. Step 5: Solve for x
    x = 13,123,248,512,335,504/75,839,824
  6. Step 6: Final answer
    x = 173,039,015.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.