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Finding the Third Proportional to 863,672,612 and 1,864,967,687

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Solution

The third proportional to 863,672,612 and 1,864,967,687 is: 4,027,109,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,672,612 : 1,864,967,687 = 1,864,967,687 : x
  2. Step 2: Convert to fraction form
    863,672,612/1,864,967,687 = 1,864,967,687/x
  3. Step 3: Cross multiply
    863,672,612x = 1,864,967,687 × 1,864,967,687
  4. Step 4: Simplify right side
    863,672,612x = 3,478,104,473,554,129,920
  5. Step 5: Solve for x
    x = 3,478,104,473,554,129,920/863,672,612
  6. Step 6: Final answer
    x = 4,027,109,839.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.