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Finding the Third Proportional to 9,447,470 and 14,168,739

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Solution

The third proportional to 9,447,470 and 14,168,739 is: 21,249,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,470 : 14,168,739 = 14,168,739 : x
  2. Step 2: Convert to fraction form
    9,447,470/14,168,739 = 14,168,739/x
  3. Step 3: Cross multiply
    9,447,470x = 14,168,739 × 14,168,739
  4. Step 4: Simplify right side
    9,447,470x = 200,753,164,850,121
  5. Step 5: Solve for x
    x = 200,753,164,850,121/9,447,470
  6. Step 6: Final answer
    x = 21,249,410.14

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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.