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Finding the Third Proportional to 9,447,468 and 14,168,736

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Solution

The third proportional to 9,447,468 and 14,168,736 is: 21,249,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,468 : 14,168,736 = 14,168,736 : x
  2. Step 2: Convert to fraction form
    9,447,468/14,168,736 = 14,168,736/x
  3. Step 3: Cross multiply
    9,447,468x = 14,168,736 × 14,168,736
  4. Step 4: Simplify right side
    9,447,468x = 200,753,079,837,696
  5. Step 5: Solve for x
    x = 200,753,079,837,696/9,447,468
  6. Step 6: Final answer
    x = 21,249,405.64

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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.