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Finding the Third Proportional to 965,780,526 and 2,092,005,589

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Solution

The third proportional to 965,780,526 and 2,092,005,589 is: 4,531,554,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,780,526 : 2,092,005,589 = 2,092,005,589 : x
  2. Step 2: Convert to fraction form
    965,780,526/2,092,005,589 = 2,092,005,589/x
  3. Step 3: Cross multiply
    965,780,526x = 2,092,005,589 × 2,092,005,589
  4. Step 4: Simplify right side
    965,780,526x = 4,376,487,384,407,237,120
  5. Step 5: Solve for x
    x = 4,376,487,384,407,237,120/965,780,526
  6. Step 6: Final answer
    x = 4,531,554,806.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.