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Finding the Third Proportional to 51,003,894 and 110,067,854

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Solution

The third proportional to 51,003,894 and 110,067,854 is: 237,529,559.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,003,894 : 110,067,854 = 110,067,854 : x
  2. Step 2: Convert to fraction form
    51,003,894/110,067,854 = 110,067,854/x
  3. Step 3: Cross multiply
    51,003,894x = 110,067,854 × 110,067,854
  4. Step 4: Simplify right side
    51,003,894x = 12,114,932,484,165,316
  5. Step 5: Solve for x
    x = 12,114,932,484,165,316/51,003,894
  6. Step 6: Final answer
    x = 237,529,559.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.