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Finding the Third Proportional to 5,680,896 and 7,990,558.50

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Solution

The third proportional to 5,680,896 and 7,990,558.50 is: 11,239,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680,896 : 7,990,558.50 = 7,990,558.50 : x
  2. Step 2: Convert to fraction form
    5,680,896/7,990,558.50 = 7,990,558.50/x
  3. Step 3: Cross multiply
    5,680,896x = 7,990,558.50 × 7,990,558.50
  4. Step 4: Simplify right side
    5,680,896x = 63,849,025,141,922.25
  5. Step 5: Solve for x
    x = 63,849,025,141,922.25/5,680,896
  6. Step 6: Final answer
    x = 11,239,252.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.