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Finding the Third Proportional to 2,912,241 and 6,384,354

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Solution

The third proportional to 2,912,241 and 6,384,354 is: 13,996,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,241 : 6,384,354 = 6,384,354 : x
  2. Step 2: Convert to fraction form
    2,912,241/6,384,354 = 6,384,354/x
  3. Step 3: Cross multiply
    2,912,241x = 6,384,354 × 6,384,354
  4. Step 4: Simplify right side
    2,912,241x = 40,759,975,997,316
  5. Step 5: Solve for x
    x = 40,759,975,997,316/2,912,241
  6. Step 6: Final answer
    x = 13,996,086.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.