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Finding the Third Proportional to 13,909,097.25 and 21,276,691.88

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Solution

The third proportional to 13,909,097.25 and 21,276,691.88 is: 32,546,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909,097.25 : 21,276,691.88 = 21,276,691.88 : x
  2. Step 2: Convert to fraction form
    13,909,097.25/21,276,691.88 = 21,276,691.88/x
  3. Step 3: Cross multiply
    13,909,097.25x = 21,276,691.88 × 21,276,691.88
  4. Step 4: Simplify right side
    13,909,097.25x = 452,697,617,143,691
  5. Step 5: Solve for x
    x = 452,697,617,143,691/13,909,097.25
  6. Step 6: Final answer
    x = 32,546,872.67

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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.