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Finding the Third Proportional to 20,711,902 and 31,067,854

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Solution

The third proportional to 20,711,902 and 31,067,854 is: 46,601,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711,902 : 31,067,854 = 31,067,854 : x
  2. Step 2: Convert to fraction form
    20,711,902/31,067,854 = 31,067,854/x
  3. Step 3: Cross multiply
    20,711,902x = 31,067,854 × 31,067,854
  4. Step 4: Simplify right side
    20,711,902x = 965,211,552,165,316
  5. Step 5: Solve for x
    x = 965,211,552,165,316/20,711,902
  6. Step 6: Final answer
    x = 46,601,782.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.