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Finding the Third Proportional to 38,232,492.75 and 82,556,968.50

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Solution

The third proportional to 38,232,492.75 and 82,556,968.50 is: 178,268,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,232,492.75 : 82,556,968.50 = 82,556,968.50 : x
  2. Step 2: Convert to fraction form
    38,232,492.75/82,556,968.50 = 82,556,968.50/x
  3. Step 3: Cross multiply
    38,232,492.75x = 82,556,968.50 × 82,556,968.50
  4. Step 4: Simplify right side
    38,232,492.75x = 6,815,653,047,909,992
  5. Step 5: Solve for x
    x = 6,815,653,047,909,992/38,232,492.75
  6. Step 6: Final answer
    x = 178,268,602.38

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