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Finding the Third Proportional to 11,533,780.69 and 16,223,707.69

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Solution

The third proportional to 11,533,780.69 and 16,223,707.69 is: 22,820,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533,780.69 : 16,223,707.69 = 16,223,707.69 : x
  2. Step 2: Convert to fraction form
    11,533,780.69/16,223,707.69 = 16,223,707.69/x
  3. Step 3: Cross multiply
    11,533,780.69x = 16,223,707.69 × 16,223,707.69
  4. Step 4: Simplify right side
    11,533,780.69x = 263,208,691,129,446.59
  5. Step 5: Solve for x
    x = 263,208,691,129,446.59/11,533,780.69
  6. Step 6: Final answer
    x = 22,820,677.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.