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Finding the Third Proportional to 6,315,261 and 13,640,736

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Solution

The third proportional to 6,315,261 and 13,640,736 is: 29,463,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315,261 : 13,640,736 = 13,640,736 : x
  2. Step 2: Convert to fraction form
    6,315,261/13,640,736 = 13,640,736/x
  3. Step 3: Cross multiply
    6,315,261x = 13,640,736 × 13,640,736
  4. Step 4: Simplify right side
    6,315,261x = 186,069,678,621,696
  5. Step 5: Solve for x
    x = 186,069,678,621,696/6,315,261
  6. Step 6: Final answer
    x = 29,463,497.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.