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Finding the Third Proportional to 21,416,892.75 and 32,172,815.25

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Solution

The third proportional to 21,416,892.75 and 32,172,815.25 is: 48,330,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416,892.75 : 32,172,815.25 = 32,172,815.25 : x
  2. Step 2: Convert to fraction form
    21,416,892.75/32,172,815.25 = 32,172,815.25/x
  3. Step 3: Cross multiply
    21,416,892.75x = 32,172,815.25 × 32,172,815.25
  4. Step 4: Simplify right side
    21,416,892.75x = 1,035,090,041,110,632.50
  5. Step 5: Solve for x
    x = 1,035,090,041,110,632.50/21,416,892.75
  6. Step 6: Final answer
    x = 48,330,542.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.