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Finding the Third Proportional to 1,020,314,640 and 1,530,206,229.75

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Solution

The third proportional to 1,020,314,640 and 1,530,206,229.75 is: 2,294,910,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,314,640 : 1,530,206,229.75 = 1,530,206,229.75 : x
  2. Step 2: Convert to fraction form
    1,020,314,640/1,530,206,229.75 = 1,530,206,229.75/x
  3. Step 3: Cross multiply
    1,020,314,640x = 1,530,206,229.75 × 1,530,206,229.75
  4. Step 4: Simplify right side
    1,020,314,640x = 2,341,531,105,565,709,824
  5. Step 5: Solve for x
    x = 2,341,531,105,565,709,824/1,020,314,640
  6. Step 6: Final answer
    x = 2,294,910,818.46

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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.