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Finding the Third Proportional to 9,375,584 and 14,088,341

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Solution

The third proportional to 9,375,584 and 14,088,341 is: 21,170,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375,584 : 14,088,341 = 14,088,341 : x
  2. Step 2: Convert to fraction form
    9,375,584/14,088,341 = 14,088,341/x
  3. Step 3: Cross multiply
    9,375,584x = 14,088,341 × 14,088,341
  4. Step 4: Simplify right side
    9,375,584x = 198,481,352,132,281
  5. Step 5: Solve for x
    x = 198,481,352,132,281/9,375,584
  6. Step 6: Final answer
    x = 21,170,025.48

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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.