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Finding the Third Proportional to 9,344,936 and 13,662,624

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Solution

The third proportional to 9,344,936 and 13,662,624 is: 19,975,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344,936 : 13,662,624 = 13,662,624 : x
  2. Step 2: Convert to fraction form
    9,344,936/13,662,624 = 13,662,624/x
  3. Step 3: Cross multiply
    9,344,936x = 13,662,624 × 13,662,624
  4. Step 4: Simplify right side
    9,344,936x = 186,667,294,565,376
  5. Step 5: Solve for x
    x = 186,667,294,565,376/9,344,936
  6. Step 6: Final answer
    x = 19,975,235.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.