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Finding the Third Proportional to 8,738,500.13 and 13,567,830.38

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Solution

The third proportional to 8,738,500.13 and 13,567,830.38 is: 21,066,088.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738,500.13 : 13,567,830.38 = 13,567,830.38 : x
  2. Step 2: Convert to fraction form
    8,738,500.13/13,567,830.38 = 13,567,830.38/x
  3. Step 3: Cross multiply
    8,738,500.13x = 13,567,830.38 × 13,567,830.38
  4. Step 4: Simplify right side
    8,738,500.13x = 184,086,021,084,772.62
  5. Step 5: Solve for x
    x = 184,086,021,084,772.62/8,738,500.13
  6. Step 6: Final answer
    x = 21,066,088.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.