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Finding the Third Proportional to 6,747,152 and 14,692,295

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Solution

The third proportional to 6,747,152 and 14,692,295 is: 31,993,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747,152 : 14,692,295 = 14,692,295 : x
  2. Step 2: Convert to fraction form
    6,747,152/14,692,295 = 14,692,295/x
  3. Step 3: Cross multiply
    6,747,152x = 14,692,295 × 14,692,295
  4. Step 4: Simplify right side
    6,747,152x = 215,863,532,367,025
  5. Step 5: Solve for x
    x = 215,863,532,367,025/6,747,152
  6. Step 6: Final answer
    x = 31,993,281.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.