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Finding the Third Proportional to 5,375,999.53 and 8,526,022.03

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Solution

The third proportional to 5,375,999.53 and 8,526,022.03 is: 13,521,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375,999.53 : 8,526,022.03 = 8,526,022.03 : x
  2. Step 2: Convert to fraction form
    5,375,999.53/8,526,022.03 = 8,526,022.03/x
  3. Step 3: Cross multiply
    5,375,999.53x = 8,526,022.03 × 8,526,022.03
  4. Step 4: Simplify right side
    5,375,999.53x = 72,693,051,677,360.38
  5. Step 5: Solve for x
    x = 72,693,051,677,360.38/5,375,999.53
  6. Step 6: Final answer
    x = 13,521,774.18

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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.