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Finding the Third Proportional to 9,260,142.75 and 19,942,562.25

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Solution

The third proportional to 9,260,142.75 and 19,942,562.25 is: 42,948,127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260,142.75 : 19,942,562.25 = 19,942,562.25 : x
  2. Step 2: Convert to fraction form
    9,260,142.75/19,942,562.25 = 19,942,562.25/x
  3. Step 3: Cross multiply
    9,260,142.75x = 19,942,562.25 × 19,942,562.25
  4. Step 4: Simplify right side
    9,260,142.75x = 397,705,789,095,125.06
  5. Step 5: Solve for x
    x = 397,705,789,095,125.06/9,260,142.75
  6. Step 6: Final answer
    x = 42,948,127.24

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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.