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Finding the Third Proportional to 75,462,738 and 161,692,836

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Solution

The third proportional to 75,462,738 and 161,692,836 is: 346,456,726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,462,738 : 161,692,836 = 161,692,836 : x
  2. Step 2: Convert to fraction form
    75,462,738/161,692,836 = 161,692,836/x
  3. Step 3: Cross multiply
    75,462,738x = 161,692,836 × 161,692,836
  4. Step 4: Simplify right side
    75,462,738x = 26,144,573,213,722,896
  5. Step 5: Solve for x
    x = 26,144,573,213,722,896/75,462,738
  6. Step 6: Final answer
    x = 346,456,726.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.