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Finding the Third Proportional to 9,447,474 and 14,168,745

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Solution

The third proportional to 9,447,474 and 14,168,745 is: 21,249,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,474 : 14,168,745 = 14,168,745 : x
  2. Step 2: Convert to fraction form
    9,447,474/14,168,745 = 14,168,745/x
  3. Step 3: Cross multiply
    9,447,474x = 14,168,745 × 14,168,745
  4. Step 4: Simplify right side
    9,447,474x = 200,753,334,875,025
  5. Step 5: Solve for x
    x = 200,753,334,875,025/9,447,474
  6. Step 6: Final answer
    x = 21,249,419.14

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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.