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Finding the Third Proportional to 729,884,526.75 and 1,511,505,819

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Solution

The third proportional to 729,884,526.75 and 1,511,505,819 is: 3,130,152,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,884,526.75 : 1,511,505,819 = 1,511,505,819 : x
  2. Step 2: Convert to fraction form
    729,884,526.75/1,511,505,819 = 1,511,505,819/x
  3. Step 3: Cross multiply
    729,884,526.75x = 1,511,505,819 × 1,511,505,819
  4. Step 4: Simplify right side
    729,884,526.75x = 2,284,649,840,870,860,800
  5. Step 5: Solve for x
    x = 2,284,649,840,870,860,800/729,884,526.75
  6. Step 6: Final answer
    x = 3,130,152,451.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.