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Finding the Third Proportional to 7,872,714 and 11,768,085

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Solution

The third proportional to 7,872,714 and 11,768,085 is: 17,590,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,714 : 11,768,085 = 11,768,085 : x
  2. Step 2: Convert to fraction form
    7,872,714/11,768,085 = 11,768,085/x
  3. Step 3: Cross multiply
    7,872,714x = 11,768,085 × 11,768,085
  4. Step 4: Simplify right side
    7,872,714x = 138,487,824,567,225
  5. Step 5: Solve for x
    x = 138,487,824,567,225/7,872,714
  6. Step 6: Final answer
    x = 17,590,861.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.