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Finding the Third Proportional to 2,429,245.69 and 5,316,121.13

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Solution

The third proportional to 2,429,245.69 and 5,316,121.13 is: 11,633,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,245.69 : 5,316,121.13 = 5,316,121.13 : x
  2. Step 2: Convert to fraction form
    2,429,245.69/5,316,121.13 = 5,316,121.13/x
  3. Step 3: Cross multiply
    2,429,245.69x = 5,316,121.13 × 5,316,121.13
  4. Step 4: Simplify right side
    2,429,245.69x = 28,261,143,815,671.27
  5. Step 5: Solve for x
    x = 28,261,143,815,671.27/2,429,245.69
  6. Step 6: Final answer
    x = 11,633,711.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.