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Finding the Third Proportional to 20,846,844 and 31,434,312

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Solution

The third proportional to 20,846,844 and 31,434,312 is: 47,398,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,846,844 : 31,434,312 = 31,434,312 : x
  2. Step 2: Convert to fraction form
    20,846,844/31,434,312 = 31,434,312/x
  3. Step 3: Cross multiply
    20,846,844x = 31,434,312 × 31,434,312
  4. Step 4: Simplify right side
    20,846,844x = 988,115,970,913,344
  5. Step 5: Solve for x
    x = 988,115,970,913,344/20,846,844
  6. Step 6: Final answer
    x = 47,398,827.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.