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Finding the Third Proportional to 9,260,145 and 19,942,566.75

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Solution

The third proportional to 9,260,145 and 19,942,566.75 is: 42,948,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260,145 : 19,942,566.75 = 19,942,566.75 : x
  2. Step 2: Convert to fraction form
    9,260,145/19,942,566.75 = 19,942,566.75/x
  3. Step 3: Cross multiply
    9,260,145x = 19,942,566.75 × 19,942,566.75
  4. Step 4: Simplify right side
    9,260,145x = 397,705,968,578,205.56
  5. Step 5: Solve for x
    x = 397,705,968,578,205.56/9,260,145
  6. Step 6: Final answer
    x = 42,948,136.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.