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Finding the Third Proportional to 9,458,074 and 14,675,043

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Solution

The third proportional to 9,458,074 and 14,675,043 is: 22,769,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458,074 : 14,675,043 = 14,675,043 : x
  2. Step 2: Convert to fraction form
    9,458,074/14,675,043 = 14,675,043/x
  3. Step 3: Cross multiply
    9,458,074x = 14,675,043 × 14,675,043
  4. Step 4: Simplify right side
    9,458,074x = 215,356,887,051,849
  5. Step 5: Solve for x
    x = 215,356,887,051,849/9,458,074
  6. Step 6: Final answer
    x = 22,769,634.39

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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.