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Finding the Third Proportional to 4,919,934.94 and 10,676,162.53

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Solution

The third proportional to 4,919,934.94 and 10,676,162.53 is: 23,167,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,919,934.94 : 10,676,162.53 = 10,676,162.53 : x
  2. Step 2: Convert to fraction form
    4,919,934.94/10,676,162.53 = 10,676,162.53/x
  3. Step 3: Cross multiply
    4,919,934.94x = 10,676,162.53 × 10,676,162.53
  4. Step 4: Simplify right side
    4,919,934.94x = 113,980,446,393,666.41
  5. Step 5: Solve for x
    x = 113,980,446,393,666.41/4,919,934.94
  6. Step 6: Final answer
    x = 23,167,063.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.