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Finding the Third Proportional to 969,117,866 and 2,113,635,866

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Solution

The third proportional to 969,117,866 and 2,113,635,866 is: 4,609,817,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,117,866 : 2,113,635,866 = 2,113,635,866 : x
  2. Step 2: Convert to fraction form
    969,117,866/2,113,635,866 = 2,113,635,866/x
  3. Step 3: Cross multiply
    969,117,866x = 2,113,635,866 × 2,113,635,866
  4. Step 4: Simplify right side
    969,117,866x = 4,467,456,574,041,569,792
  5. Step 5: Solve for x
    x = 4,467,456,574,041,569,792/969,117,866
  6. Step 6: Final answer
    x = 4,609,817,578.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.