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Finding the Third Proportional to 14,190,214 and 21,923,646

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Solution

The third proportional to 14,190,214 and 21,923,646 is: 33,871,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,190,214 : 21,923,646 = 21,923,646 : x
  2. Step 2: Convert to fraction form
    14,190,214/21,923,646 = 21,923,646/x
  3. Step 3: Cross multiply
    14,190,214x = 21,923,646 × 21,923,646
  4. Step 4: Simplify right side
    14,190,214x = 480,646,253,933,316
  5. Step 5: Solve for x
    x = 480,646,253,933,316/14,190,214
  6. Step 6: Final answer
    x = 33,871,670.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.