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Finding the Third Proportional to 20,863,584 and 31,914,979.88

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Solution

The third proportional to 20,863,584 and 31,914,979.88 is: 48,820,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,863,584 : 31,914,979.88 = 31,914,979.88 : x
  2. Step 2: Convert to fraction form
    20,863,584/31,914,979.88 = 31,914,979.88/x
  3. Step 3: Cross multiply
    20,863,584x = 31,914,979.88 × 31,914,979.88
  4. Step 4: Simplify right side
    20,863,584x = 1,018,565,940,421,655
  5. Step 5: Solve for x
    x = 1,018,565,940,421,655/20,863,584
  6. Step 6: Final answer
    x = 48,820,276.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.