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Finding the Third Proportional to 14,609,493 and 22,709,983.50

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Solution

The third proportional to 14,609,493 and 22,709,983.50 is: 35,301,933.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609,493 : 22,709,983.50 = 22,709,983.50 : x
  2. Step 2: Convert to fraction form
    14,609,493/22,709,983.50 = 22,709,983.50/x
  3. Step 3: Cross multiply
    14,609,493x = 22,709,983.50 × 22,709,983.50
  4. Step 4: Simplify right side
    14,609,493x = 515,743,350,570,272.25
  5. Step 5: Solve for x
    x = 515,743,350,570,272.25/14,609,493
  6. Step 6: Final answer
    x = 35,301,933.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.