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Finding the Third Proportional to 21,975,296.63 and 32,327,758.13

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Solution

The third proportional to 21,975,296.63 and 32,327,758.13 is: 47,557,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,975,296.63 : 32,327,758.13 = 32,327,758.13 : x
  2. Step 2: Convert to fraction form
    21,975,296.63/32,327,758.13 = 32,327,758.13/x
  3. Step 3: Cross multiply
    21,975,296.63x = 32,327,758.13 × 32,327,758.13
  4. Step 4: Simplify right side
    21,975,296.63x = 1,045,083,945,388,503.50
  5. Step 5: Solve for x
    x = 1,045,083,945,388,503.50/21,975,296.63
  6. Step 6: Final answer
    x = 47,557,216.78

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Why These Related Problems?

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