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Finding the Third Proportional to 9,458,106 and 14,675,091

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Solution

The third proportional to 9,458,106 and 14,675,091 is: 22,769,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458,106 : 14,675,091 = 14,675,091 : x
  2. Step 2: Convert to fraction form
    9,458,106/14,675,091 = 14,675,091/x
  3. Step 3: Cross multiply
    9,458,106x = 14,675,091 × 14,675,091
  4. Step 4: Simplify right side
    9,458,106x = 215,358,295,858,281
  5. Step 5: Solve for x
    x = 215,358,295,858,281/9,458,106
  6. Step 6: Final answer
    x = 22,769,706.31

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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.