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Finding the Third Proportional to 389,797,653 and 866,747,916

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Solution

The third proportional to 389,797,653 and 866,747,916 is: 1,927,287,001.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,797,653 : 866,747,916 = 866,747,916 : x
  2. Step 2: Convert to fraction form
    389,797,653/866,747,916 = 866,747,916/x
  3. Step 3: Cross multiply
    389,797,653x = 866,747,916 × 866,747,916
  4. Step 4: Simplify right side
    389,797,653x = 751,251,949,890,343,040
  5. Step 5: Solve for x
    x = 751,251,949,890,343,040/389,797,653
  6. Step 6: Final answer
    x = 1,927,287,001.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.