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Finding the Third Proportional to 38,232,495 and 82,556,973

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Solution

The third proportional to 38,232,495 and 82,556,973 is: 178,268,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,232,495 : 82,556,973 = 82,556,973 : x
  2. Step 2: Convert to fraction form
    38,232,495/82,556,973 = 82,556,973/x
  3. Step 3: Cross multiply
    38,232,495x = 82,556,973 × 82,556,973
  4. Step 4: Simplify right side
    38,232,495x = 6,815,653,790,922,729
  5. Step 5: Solve for x
    x = 6,815,653,790,922,729/38,232,495
  6. Step 6: Final answer
    x = 178,268,611.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.