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Finding the Third Proportional to 9,699,345 and 16,164,927

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Solution

The third proportional to 9,699,345 and 16,164,927 is: 26,940,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699,345 : 16,164,927 = 16,164,927 : x
  2. Step 2: Convert to fraction form
    9,699,345/16,164,927 = 16,164,927/x
  3. Step 3: Cross multiply
    9,699,345x = 16,164,927 × 16,164,927
  4. Step 4: Simplify right side
    9,699,345x = 261,304,864,915,329
  5. Step 5: Solve for x
    x = 261,304,864,915,329/9,699,345
  6. Step 6: Final answer
    x = 26,940,465.04

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.