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Finding the Third Proportional to 11,221,661.50 and 24,174,416.50

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Solution

The third proportional to 11,221,661.50 and 24,174,416.50 is: 52,078,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221,661.50 : 24,174,416.50 = 24,174,416.50 : x
  2. Step 2: Convert to fraction form
    11,221,661.50/24,174,416.50 = 24,174,416.50/x
  3. Step 3: Cross multiply
    11,221,661.50x = 24,174,416.50 × 24,174,416.50
  4. Step 4: Simplify right side
    11,221,661.50x = 584,402,413,115,472.25
  5. Step 5: Solve for x
    x = 584,402,413,115,472.25/11,221,661.50
  6. Step 6: Final answer
    x = 52,078,064.65

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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.