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Finding the Third Proportional to 21,721,644 and 32,206,758.75

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Solution

The third proportional to 21,721,644 and 32,206,758.75 is: 47,753,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,721,644 : 32,206,758.75 = 32,206,758.75 : x
  2. Step 2: Convert to fraction form
    21,721,644/32,206,758.75 = 32,206,758.75/x
  3. Step 3: Cross multiply
    21,721,644x = 32,206,758.75 × 32,206,758.75
  4. Step 4: Simplify right side
    21,721,644x = 1,037,275,309,180,701.50
  5. Step 5: Solve for x
    x = 1,037,275,309,180,701.50/21,721,644
  6. Step 6: Final answer
    x = 47,753,075.65

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Why These Related Problems?

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