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Finding the Third Proportional to 9,581,815 and 20,780,779.50

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Solution

The third proportional to 9,581,815 and 20,780,779.50 is: 45,068,788.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581,815 : 20,780,779.50 = 20,780,779.50 : x
  2. Step 2: Convert to fraction form
    9,581,815/20,780,779.50 = 20,780,779.50/x
  3. Step 3: Cross multiply
    9,581,815x = 20,780,779.50 × 20,780,779.50
  4. Step 4: Simplify right side
    9,581,815x = 431,840,796,627,620.25
  5. Step 5: Solve for x
    x = 431,840,796,627,620.25/9,581,815
  6. Step 6: Final answer
    x = 45,068,788.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.