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Finding the Third Proportional to 5,449,497 and 11,681,409

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Solution

The third proportional to 5,449,497 and 11,681,409 is: 25,039,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449,497 : 11,681,409 = 11,681,409 : x
  2. Step 2: Convert to fraction form
    5,449,497/11,681,409 = 11,681,409/x
  3. Step 3: Cross multiply
    5,449,497x = 11,681,409 × 11,681,409
  4. Step 4: Simplify right side
    5,449,497x = 136,455,316,225,281
  5. Step 5: Solve for x
    x = 136,455,316,225,281/5,449,497
  6. Step 6: Final answer
    x = 25,039,983.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.