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Finding the Third Proportional to 6,879,765 and 16,065,412.50

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Solution

The third proportional to 6,879,765 and 16,065,412.50 is: 37,515,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879,765 : 16,065,412.50 = 16,065,412.50 : x
  2. Step 2: Convert to fraction form
    6,879,765/16,065,412.50 = 16,065,412.50/x
  3. Step 3: Cross multiply
    6,879,765x = 16,065,412.50 × 16,065,412.50
  4. Step 4: Simplify right side
    6,879,765x = 258,097,478,795,156.25
  5. Step 5: Solve for x
    x = 258,097,478,795,156.25/6,879,765
  6. Step 6: Final answer
    x = 37,515,449.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.