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Finding the Third Proportional to 21,534,216 and 32,317,072.50

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Solution

The third proportional to 21,534,216 and 32,317,072.50 is: 48,499,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534,216 : 32,317,072.50 = 32,317,072.50 : x
  2. Step 2: Convert to fraction form
    21,534,216/32,317,072.50 = 32,317,072.50/x
  3. Step 3: Cross multiply
    21,534,216x = 32,317,072.50 × 32,317,072.50
  4. Step 4: Simplify right side
    21,534,216x = 1,044,393,174,970,256.25
  5. Step 5: Solve for x
    x = 1,044,393,174,970,256.25/21,534,216
  6. Step 6: Final answer
    x = 48,499,243.02

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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.