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Finding the Third Proportional to 7,287,975.75 and 15,948,846.75

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Solution

The third proportional to 7,287,975.75 and 15,948,846.75 is: 34,902,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287,975.75 : 15,948,846.75 = 15,948,846.75 : x
  2. Step 2: Convert to fraction form
    7,287,975.75/15,948,846.75 = 15,948,846.75/x
  3. Step 3: Cross multiply
    7,287,975.75x = 15,948,846.75 × 15,948,846.75
  4. Step 4: Simplify right side
    7,287,975.75x = 254,365,712,654,985.56
  5. Step 5: Solve for x
    x = 254,365,712,654,985.56/7,287,975.75
  6. Step 6: Final answer
    x = 34,902,107.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.