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Finding the Third Proportional to 7,684,749 and 16,509,171

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Solution

The third proportional to 7,684,749 and 16,509,171 is: 35,466,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684,749 : 16,509,171 = 16,509,171 : x
  2. Step 2: Convert to fraction form
    7,684,749/16,509,171 = 16,509,171/x
  3. Step 3: Cross multiply
    7,684,749x = 16,509,171 × 16,509,171
  4. Step 4: Simplify right side
    7,684,749x = 272,552,727,107,241
  5. Step 5: Solve for x
    x = 272,552,727,107,241/7,684,749
  6. Step 6: Final answer
    x = 35,466,705.17

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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.