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Finding the Third Proportional to 5,826,211 and 9,119,611

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Solution

The third proportional to 5,826,211 and 9,119,611 is: 14,274,681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826,211 : 9,119,611 = 9,119,611 : x
  2. Step 2: Convert to fraction form
    5,826,211/9,119,611 = 9,119,611/x
  3. Step 3: Cross multiply
    5,826,211x = 9,119,611 × 9,119,611
  4. Step 4: Simplify right side
    5,826,211x = 83,167,304,791,321
  5. Step 5: Solve for x
    x = 83,167,304,791,321/5,826,211
  6. Step 6: Final answer
    x = 14,274,681.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.