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Finding the Third Proportional to 3,531,964.50 and 5,688,743.91

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Solution

The third proportional to 3,531,964.50 and 5,688,743.91 is: 9,162,551.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531,964.50 : 5,688,743.91 = 5,688,743.91 : x
  2. Step 2: Convert to fraction form
    3,531,964.50/5,688,743.91 = 5,688,743.91/x
  3. Step 3: Cross multiply
    3,531,964.50x = 5,688,743.91 × 5,688,743.91
  4. Step 4: Simplify right side
    3,531,964.50x = 32,361,807,230,896.51
  5. Step 5: Solve for x
    x = 32,361,807,230,896.51/3,531,964.50
  6. Step 6: Final answer
    x = 9,162,551.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.