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Finding the Third Proportional to 3,493,705.50 and 7,407,313.50

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Solution

The third proportional to 3,493,705.50 and 7,407,313.50 is: 15,704,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493,705.50 : 7,407,313.50 = 7,407,313.50 : x
  2. Step 2: Convert to fraction form
    3,493,705.50/7,407,313.50 = 7,407,313.50/x
  3. Step 3: Cross multiply
    3,493,705.50x = 7,407,313.50 × 7,407,313.50
  4. Step 4: Simplify right side
    3,493,705.50x = 54,868,293,287,282.25
  5. Step 5: Solve for x
    x = 54,868,293,287,282.25/3,493,705.50
  6. Step 6: Final answer
    x = 15,704,899.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.