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Finding the Third Proportional to 75,462,736 and 161,692,832

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Solution

The third proportional to 75,462,736 and 161,692,832 is: 346,456,718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,462,736 : 161,692,832 = 161,692,832 : x
  2. Step 2: Convert to fraction form
    75,462,736/161,692,832 = 161,692,832/x
  3. Step 3: Cross multiply
    75,462,736x = 161,692,832 × 161,692,832
  4. Step 4: Simplify right side
    75,462,736x = 26,144,571,920,180,224
  5. Step 5: Solve for x
    x = 26,144,571,920,180,224/75,462,736
  6. Step 6: Final answer
    x = 346,456,718.98

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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.