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Finding the Third Proportional to 7,287,975 and 15,948,846

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Solution

The third proportional to 7,287,975 and 15,948,846 is: 34,902,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287,975 : 15,948,846 = 15,948,846 : x
  2. Step 2: Convert to fraction form
    7,287,975/15,948,846 = 15,948,846/x
  3. Step 3: Cross multiply
    7,287,975x = 15,948,846 × 15,948,846
  4. Step 4: Simplify right side
    7,287,975x = 254,365,688,731,716
  5. Step 5: Solve for x
    x = 254,365,688,731,716/7,287,975
  6. Step 6: Final answer
    x = 34,902,107.75

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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.