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Finding the Third Proportional to 6,392,042.25 and 13,732,756.50

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Solution

The third proportional to 6,392,042.25 and 13,732,756.50 is: 29,503,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392,042.25 : 13,732,756.50 = 13,732,756.50 : x
  2. Step 2: Convert to fraction form
    6,392,042.25/13,732,756.50 = 13,732,756.50/x
  3. Step 3: Cross multiply
    6,392,042.25x = 13,732,756.50 × 13,732,756.50
  4. Step 4: Simplify right side
    6,392,042.25x = 188,588,601,088,292.25
  5. Step 5: Solve for x
    x = 188,588,601,088,292.25/6,392,042.25
  6. Step 6: Final answer
    x = 29,503,653.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.