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Finding the Third Proportional to 866,111,808 and 1,778,138,834

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Solution

The third proportional to 866,111,808 and 1,778,138,834 is: 3,650,542,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,111,808 : 1,778,138,834 = 1,778,138,834 : x
  2. Step 2: Convert to fraction form
    866,111,808/1,778,138,834 = 1,778,138,834/x
  3. Step 3: Cross multiply
    866,111,808x = 1,778,138,834 × 1,778,138,834
  4. Step 4: Simplify right side
    866,111,808x = 3,161,777,712,978,879,488
  5. Step 5: Solve for x
    x = 3,161,777,712,978,879,488/866,111,808
  6. Step 6: Final answer
    x = 3,650,542,209.19

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.