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Finding the Third Proportional to 13,732,533.75 and 20,775,543.38

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Solution

The third proportional to 13,732,533.75 and 20,775,543.38 is: 31,430,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732,533.75 : 20,775,543.38 = 20,775,543.38 : x
  2. Step 2: Convert to fraction form
    13,732,533.75/20,775,543.38 = 20,775,543.38/x
  3. Step 3: Cross multiply
    13,732,533.75x = 20,775,543.38 × 20,775,543.38
  4. Step 4: Simplify right side
    13,732,533.75x = 431,623,202,526,506.38
  5. Step 5: Solve for x
    x = 431,623,202,526,506.38/13,732,533.75
  6. Step 6: Final answer
    x = 31,430,703.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.