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Finding the Third Proportional to 13,468,936 and 20,539,693

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Solution

The third proportional to 13,468,936 and 20,539,693 is: 31,322,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468,936 : 20,539,693 = 20,539,693 : x
  2. Step 2: Convert to fraction form
    13,468,936/20,539,693 = 20,539,693/x
  3. Step 3: Cross multiply
    13,468,936x = 20,539,693 × 20,539,693
  4. Step 4: Simplify right side
    13,468,936x = 421,878,988,534,249
  5. Step 5: Solve for x
    x = 421,878,988,534,249/13,468,936
  6. Step 6: Final answer
    x = 31,322,369.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.