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Finding the Third Proportional to 6,500,816 and 14,000,632

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Solution

The third proportional to 6,500,816 and 14,000,632 is: 30,152,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500,816 : 14,000,632 = 14,000,632 : x
  2. Step 2: Convert to fraction form
    6,500,816/14,000,632 = 14,000,632/x
  3. Step 3: Cross multiply
    6,500,816x = 14,000,632 × 14,000,632
  4. Step 4: Simplify right side
    6,500,816x = 196,017,696,399,424
  5. Step 5: Solve for x
    x = 196,017,696,399,424/6,500,816
  6. Step 6: Final answer
    x = 30,152,783.34

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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.