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Finding the Third Proportional to 6,500,674 and 14,000,324

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Solution

The third proportional to 6,500,674 and 14,000,324 is: 30,152,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500,674 : 14,000,324 = 14,000,324 : x
  2. Step 2: Convert to fraction form
    6,500,674/14,000,324 = 14,000,324/x
  3. Step 3: Cross multiply
    6,500,674x = 14,000,324 × 14,000,324
  4. Step 4: Simplify right side
    6,500,674x = 196,009,072,104,976
  5. Step 5: Solve for x
    x = 196,009,072,104,976/6,500,674
  6. Step 6: Final answer
    x = 30,152,115.32

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