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Finding the Third Proportional to 4,637,351.25 and 7,006,783.50

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Solution

The third proportional to 4,637,351.25 and 7,006,783.50 is: 10,586,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637,351.25 : 7,006,783.50 = 7,006,783.50 : x
  2. Step 2: Convert to fraction form
    4,637,351.25/7,006,783.50 = 7,006,783.50/x
  3. Step 3: Cross multiply
    4,637,351.25x = 7,006,783.50 × 7,006,783.50
  4. Step 4: Simplify right side
    4,637,351.25x = 49,095,015,015,872.25
  5. Step 5: Solve for x
    x = 49,095,015,015,872.25/4,637,351.25
  6. Step 6: Final answer
    x = 10,586,865.73

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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.