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Finding the Third Proportional to 3,169,276 and 6,831,356

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Solution

The third proportional to 3,169,276 and 6,831,356 is: 14,724,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169,276 : 6,831,356 = 6,831,356 : x
  2. Step 2: Convert to fraction form
    3,169,276/6,831,356 = 6,831,356/x
  3. Step 3: Cross multiply
    3,169,276x = 6,831,356 × 6,831,356
  4. Step 4: Simplify right side
    3,169,276x = 46,667,424,798,736
  5. Step 5: Solve for x
    x = 46,667,424,798,736/3,169,276
  6. Step 6: Final answer
    x = 14,724,948.16

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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.