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Finding the Third Proportional to 21,721,617 and 32,206,713.75

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Solution

The third proportional to 21,721,617 and 32,206,713.75 is: 47,753,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,721,617 : 32,206,713.75 = 32,206,713.75 : x
  2. Step 2: Convert to fraction form
    21,721,617/32,206,713.75 = 32,206,713.75/x
  3. Step 3: Cross multiply
    21,721,617x = 32,206,713.75 × 32,206,713.75
  4. Step 4: Simplify right side
    21,721,617x = 1,037,272,410,574,439
  5. Step 5: Solve for x
    x = 1,037,272,410,574,439/21,721,617
  6. Step 6: Final answer
    x = 47,753,001.56

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.