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Finding the Third Proportional to 20,846,846 and 31,434,315

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Solution

The third proportional to 20,846,846 and 31,434,315 is: 47,398,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,846,846 : 31,434,315 = 31,434,315 : x
  2. Step 2: Convert to fraction form
    20,846,846/31,434,315 = 31,434,315/x
  3. Step 3: Cross multiply
    20,846,846x = 31,434,315 × 31,434,315
  4. Step 4: Simplify right side
    20,846,846x = 988,116,159,519,225
  5. Step 5: Solve for x
    x = 988,116,159,519,225/20,846,846
  6. Step 6: Final answer
    x = 47,398,832.40

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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.