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Finding the Third Proportional to 10,957,164 and 17,032,563

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Solution

The third proportional to 10,957,164 and 17,032,563 is: 26,476,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957,164 : 17,032,563 = 17,032,563 : x
  2. Step 2: Convert to fraction form
    10,957,164/17,032,563 = 17,032,563/x
  3. Step 3: Cross multiply
    10,957,164x = 17,032,563 × 17,032,563
  4. Step 4: Simplify right side
    10,957,164x = 290,108,202,348,969
  5. Step 5: Solve for x
    x = 290,108,202,348,969/10,957,164
  6. Step 6: Final answer
    x = 26,476,577.55

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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.