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Finding the Third Proportional to 15,783,009.47 and 36,876,244.78

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Solution

The third proportional to 15,783,009.47 and 36,876,244.78 is: 86,159,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783,009.47 : 36,876,244.78 = 36,876,244.78 : x
  2. Step 2: Convert to fraction form
    15,783,009.47/36,876,244.78 = 36,876,244.78/x
  3. Step 3: Cross multiply
    15,783,009.47x = 36,876,244.78 × 36,876,244.78
  4. Step 4: Simplify right side
    15,783,009.47x = 1,359,857,429,166,667.75
  5. Step 5: Solve for x
    x = 1,359,857,429,166,667.75/15,783,009.47
  6. Step 6: Final answer
    x = 86,159,577.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.