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Finding the Third Proportional to 6,432,990.75 and 13,208,431.50

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Solution

The third proportional to 6,432,990.75 and 13,208,431.50 is: 27,119,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432,990.75 : 13,208,431.50 = 13,208,431.50 : x
  2. Step 2: Convert to fraction form
    6,432,990.75/13,208,431.50 = 13,208,431.50/x
  3. Step 3: Cross multiply
    6,432,990.75x = 13,208,431.50 × 13,208,431.50
  4. Step 4: Simplify right side
    6,432,990.75x = 174,462,662,690,192.25
  5. Step 5: Solve for x
    x = 174,462,662,690,192.25/6,432,990.75
  6. Step 6: Final answer
    x = 27,119,992.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.