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Finding the Third Proportional to 21,975,306.75 and 32,327,772.75

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Solution

The third proportional to 21,975,306.75 and 32,327,772.75 is: 47,557,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,975,306.75 : 32,327,772.75 = 32,327,772.75 : x
  2. Step 2: Convert to fraction form
    21,975,306.75/32,327,772.75 = 32,327,772.75/x
  3. Step 3: Cross multiply
    21,975,306.75x = 32,327,772.75 × 32,327,772.75
  4. Step 4: Simplify right side
    21,975,306.75x = 1,045,084,890,975,642.50
  5. Step 5: Solve for x
    x = 1,045,084,890,975,642.50/21,975,306.75
  6. Step 6: Final answer
    x = 47,557,237.90

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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.