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Finding the Third Proportional to 10,434,157 and 14,418,033

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Solution

The third proportional to 10,434,157 and 14,418,033 is: 19,922,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434,157 : 14,418,033 = 14,418,033 : x
  2. Step 2: Convert to fraction form
    10,434,157/14,418,033 = 14,418,033/x
  3. Step 3: Cross multiply
    10,434,157x = 14,418,033 × 14,418,033
  4. Step 4: Simplify right side
    10,434,157x = 207,879,675,589,089
  5. Step 5: Solve for x
    x = 207,879,675,589,089/10,434,157
  6. Step 6: Final answer
    x = 19,922,996.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.