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Finding the Third Proportional to 20,426,768 and 31,671,768

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Solution

The third proportional to 20,426,768 and 31,671,768 is: 49,107,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,426,768 : 31,671,768 = 31,671,768 : x
  2. Step 2: Convert to fraction form
    20,426,768/31,671,768 = 31,671,768/x
  3. Step 3: Cross multiply
    20,426,768x = 31,671,768 × 31,671,768
  4. Step 4: Simplify right side
    20,426,768x = 1,003,100,888,245,824
  5. Step 5: Solve for x
    x = 1,003,100,888,245,824/20,426,768
  6. Step 6: Final answer
    x = 49,107,175.85

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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.