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Finding the Third Proportional to 5,824,094 and 9,116,285

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Solution

The third proportional to 5,824,094 and 9,116,285 is: 14,269,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824,094 : 9,116,285 = 9,116,285 : x
  2. Step 2: Convert to fraction form
    5,824,094/9,116,285 = 9,116,285/x
  3. Step 3: Cross multiply
    5,824,094x = 9,116,285 × 9,116,285
  4. Step 4: Simplify right side
    5,824,094x = 83,106,652,201,225
  5. Step 5: Solve for x
    x = 83,106,652,201,225/5,824,094
  6. Step 6: Final answer
    x = 14,269,455.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.