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Finding the Third Proportional to 4,785,343.50 and 7,355,419.13

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Solution

The third proportional to 4,785,343.50 and 7,355,419.13 is: 11,305,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785,343.50 : 7,355,419.13 = 7,355,419.13 : x
  2. Step 2: Convert to fraction form
    4,785,343.50/7,355,419.13 = 7,355,419.13/x
  3. Step 3: Cross multiply
    4,785,343.50x = 7,355,419.13 × 7,355,419.13
  4. Step 4: Simplify right side
    4,785,343.50x = 54,102,190,504,415.77
  5. Step 5: Solve for x
    x = 54,102,190,504,415.77/4,785,343.50
  6. Step 6: Final answer
    x = 11,305,811.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.