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Finding the Third Proportional to 21,978,813 and 32,309,689.50

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Solution

The third proportional to 21,978,813 and 32,309,689.50 is: 47,496,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978,813 : 32,309,689.50 = 32,309,689.50 : x
  2. Step 2: Convert to fraction form
    21,978,813/32,309,689.50 = 32,309,689.50/x
  3. Step 3: Cross multiply
    21,978,813x = 32,309,689.50 × 32,309,689.50
  4. Step 4: Simplify right side
    21,978,813x = 1,043,916,035,586,410.25
  5. Step 5: Solve for x
    x = 1,043,916,035,586,410.25/21,978,813
  6. Step 6: Final answer
    x = 47,496,470.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.