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Finding the Third Proportional to 7,561,575 and 11,482,164

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Solution

The third proportional to 7,561,575 and 11,482,164 is: 17,435,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561,575 : 11,482,164 = 11,482,164 : x
  2. Step 2: Convert to fraction form
    7,561,575/11,482,164 = 11,482,164/x
  3. Step 3: Cross multiply
    7,561,575x = 11,482,164 × 11,482,164
  4. Step 4: Simplify right side
    7,561,575x = 131,840,090,122,896
  5. Step 5: Solve for x
    x = 131,840,090,122,896/7,561,575
  6. Step 6: Final answer
    x = 17,435,532.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.