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Finding the Third Proportional to 9,406,170 and 14,537,196

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Solution

The third proportional to 9,406,170 and 14,537,196 is: 22,467,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406,170 : 14,537,196 = 14,537,196 : x
  2. Step 2: Convert to fraction form
    9,406,170/14,537,196 = 14,537,196/x
  3. Step 3: Cross multiply
    9,406,170x = 14,537,196 × 14,537,196
  4. Step 4: Simplify right side
    9,406,170x = 211,330,067,542,416
  5. Step 5: Solve for x
    x = 211,330,067,542,416/9,406,170
  6. Step 6: Final answer
    x = 22,467,175.01

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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.