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Finding the Third Proportional to 5,259,795.75 and 7,868,529.84

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Solution

The third proportional to 5,259,795.75 and 7,868,529.84 is: 11,771,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259,795.75 : 7,868,529.84 = 7,868,529.84 : x
  2. Step 2: Convert to fraction form
    5,259,795.75/7,868,529.84 = 7,868,529.84/x
  3. Step 3: Cross multiply
    5,259,795.75x = 7,868,529.84 × 7,868,529.84
  4. Step 4: Simplify right side
    5,259,795.75x = 61,913,761,901,984.40
  5. Step 5: Solve for x
    x = 61,913,761,901,984.40/5,259,795.75
  6. Step 6: Final answer
    x = 11,771,134.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.