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Finding the Third Proportional to 21,975,300.75 and 32,327,764.13

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Solution

The third proportional to 21,975,300.75 and 32,327,764.13 is: 47,557,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,975,300.75 : 32,327,764.13 = 32,327,764.13 : x
  2. Step 2: Convert to fraction form
    21,975,300.75/32,327,764.13 = 32,327,764.13/x
  3. Step 3: Cross multiply
    21,975,300.75x = 32,327,764.13 × 32,327,764.13
  4. Step 4: Simplify right side
    21,975,300.75x = 1,045,084,333,321,637
  5. Step 5: Solve for x
    x = 1,045,084,333,321,637/21,975,300.75
  6. Step 6: Final answer
    x = 47,557,225.51

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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.