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Finding the Third Proportional to 8,575,154 and 13,649,931

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Solution

The third proportional to 8,575,154 and 13,649,931 is: 21,727,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575,154 : 13,649,931 = 13,649,931 : x
  2. Step 2: Convert to fraction form
    8,575,154/13,649,931 = 13,649,931/x
  3. Step 3: Cross multiply
    8,575,154x = 13,649,931 × 13,649,931
  4. Step 4: Simplify right side
    8,575,154x = 186,320,616,304,761
  5. Step 5: Solve for x
    x = 186,320,616,304,761/8,575,154
  6. Step 6: Final answer
    x = 21,727,961.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.