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Finding the Third Proportional to 9,171,454 and 13,780,293

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Solution

The third proportional to 9,171,454 and 13,780,293 is: 20,705,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171,454 : 13,780,293 = 13,780,293 : x
  2. Step 2: Convert to fraction form
    9,171,454/13,780,293 = 13,780,293/x
  3. Step 3: Cross multiply
    9,171,454x = 13,780,293 × 13,780,293
  4. Step 4: Simplify right side
    9,171,454x = 189,896,475,165,849
  5. Step 5: Solve for x
    x = 189,896,475,165,849/9,171,454
  6. Step 6: Final answer
    x = 20,705,165.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.