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Finding the Third Proportional to 13,807,886 and 20,711,829

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Solution

The third proportional to 13,807,886 and 20,711,829 is: 31,067,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807,886 : 20,711,829 = 20,711,829 : x
  2. Step 2: Convert to fraction form
    13,807,886/20,711,829 = 20,711,829/x
  3. Step 3: Cross multiply
    13,807,886x = 20,711,829 × 20,711,829
  4. Step 4: Simplify right side
    13,807,886x = 428,979,860,525,241
  5. Step 5: Solve for x
    x = 428,979,860,525,241/13,807,886
  6. Step 6: Final answer
    x = 31,067,743.50

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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.