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Finding the Third Proportional to 82,342,824 and 179,026,560

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Solution

The third proportional to 82,342,824 and 179,026,560 is: 389,232,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,342,824 : 179,026,560 = 179,026,560 : x
  2. Step 2: Convert to fraction form
    82,342,824/179,026,560 = 179,026,560/x
  3. Step 3: Cross multiply
    82,342,824x = 179,026,560 × 179,026,560
  4. Step 4: Simplify right side
    82,342,824x = 32,050,509,185,433,600
  5. Step 5: Solve for x
    x = 32,050,509,185,433,600/82,342,824
  6. Step 6: Final answer
    x = 389,232,572.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.