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Finding the Third Proportional to 3,169,275 and 6,831,354

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Solution

The third proportional to 3,169,275 and 6,831,354 is: 14,724,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169,275 : 6,831,354 = 6,831,354 : x
  2. Step 2: Convert to fraction form
    3,169,275/6,831,354 = 6,831,354/x
  3. Step 3: Cross multiply
    3,169,275x = 6,831,354 × 6,831,354
  4. Step 4: Simplify right side
    3,169,275x = 46,667,397,473,316
  5. Step 5: Solve for x
    x = 46,667,397,473,316/3,169,275
  6. Step 6: Final answer
    x = 14,724,944.18

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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.