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Finding the Third Proportional to 500,998,063 and 1,036,362,645

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Solution

The third proportional to 500,998,063 and 1,036,362,645 is: 2,143,815,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,998,063 : 1,036,362,645 = 1,036,362,645 : x
  2. Step 2: Convert to fraction form
    500,998,063/1,036,362,645 = 1,036,362,645/x
  3. Step 3: Cross multiply
    500,998,063x = 1,036,362,645 × 1,036,362,645
  4. Step 4: Simplify right side
    500,998,063x = 1,074,047,531,951,395,968
  5. Step 5: Solve for x
    x = 1,074,047,531,951,395,968/500,998,063
  6. Step 6: Final answer
    x = 2,143,815,737.57

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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.