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Finding the Third Proportional to 13,908,496 and 21,276,000

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Solution

The third proportional to 13,908,496 and 21,276,000 is: 32,546,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908,496 : 21,276,000 = 21,276,000 : x
  2. Step 2: Convert to fraction form
    13,908,496/21,276,000 = 21,276,000/x
  3. Step 3: Cross multiply
    13,908,496x = 21,276,000 × 21,276,000
  4. Step 4: Simplify right side
    13,908,496x = 452,668,176,000,000
  5. Step 5: Solve for x
    x = 452,668,176,000,000/13,908,496
  6. Step 6: Final answer
    x = 32,546,162.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.