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Finding the Third Proportional to 4,071,492.84 and 8,768,524.78

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Solution

The third proportional to 4,071,492.84 and 8,768,524.78 is: 18,884,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071,492.84 : 8,768,524.78 = 8,768,524.78 : x
  2. Step 2: Convert to fraction form
    4,071,492.84/8,768,524.78 = 8,768,524.78/x
  3. Step 3: Cross multiply
    4,071,492.84x = 8,768,524.78 × 8,768,524.78
  4. Step 4: Simplify right side
    4,071,492.84x = 76,887,026,839,395.36
  5. Step 5: Solve for x
    x = 76,887,026,839,395.36/4,071,492.84
  6. Step 6: Final answer
    x = 18,884,234.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.