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Finding the Third Proportional to 1,020,314,633.25 and 1,530,206,222.25

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Solution

The third proportional to 1,020,314,633.25 and 1,530,206,222.25 is: 2,294,910,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,314,633.25 : 1,530,206,222.25 = 1,530,206,222.25 : x
  2. Step 2: Convert to fraction form
    1,020,314,633.25/1,530,206,222.25 = 1,530,206,222.25/x
  3. Step 3: Cross multiply
    1,020,314,633.25x = 1,530,206,222.25 × 1,530,206,222.25
  4. Step 4: Simplify right side
    1,020,314,633.25x = 2,341,531,082,612,616,192
  5. Step 5: Solve for x
    x = 2,341,531,082,612,616,192/1,020,314,633.25
  6. Step 6: Final answer
    x = 2,294,910,811.14

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