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Finding the Third Proportional to 2,118,835,778 and 4,561,494,074

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Solution

The third proportional to 2,118,835,778 and 4,561,494,074 is: 9,820,123,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118,835,778 : 4,561,494,074 = 4,561,494,074 : x
  2. Step 2: Convert to fraction form
    2,118,835,778/4,561,494,074 = 4,561,494,074/x
  3. Step 3: Cross multiply
    2,118,835,778x = 4,561,494,074 × 4,561,494,074
  4. Step 4: Simplify right side
    2,118,835,778x = 20,807,228,187,137,118,208
  5. Step 5: Solve for x
    x = 20,807,228,187,137,118,208/2,118,835,778
  6. Step 6: Final answer
    x = 9,820,123,108.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.