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Finding the Third Proportional to 3,234,116 and 6,563,265

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Solution

The third proportional to 3,234,116 and 6,563,265 is: 13,319,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234,116 : 6,563,265 = 6,563,265 : x
  2. Step 2: Convert to fraction form
    3,234,116/6,563,265 = 6,563,265/x
  3. Step 3: Cross multiply
    3,234,116x = 6,563,265 × 6,563,265
  4. Step 4: Simplify right side
    3,234,116x = 43,076,447,460,225
  5. Step 5: Solve for x
    x = 43,076,447,460,225/3,234,116
  6. Step 6: Final answer
    x = 13,319,388.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.