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Finding the Third Proportional to 397,398,894,606 and 866,722,806,840

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Solution

The third proportional to 397,398,894,606 and 866,722,806,840 is: 1,890,313,320,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,398,894,606 : 866,722,806,840 = 866,722,806,840 : x
  2. Step 2: Convert to fraction form
    397,398,894,606/866,722,806,840 = 866,722,806,840/x
  3. Step 3: Cross multiply
    397,398,894,606x = 866,722,806,840 × 866,722,806,840
  4. Step 4: Simplify right side
    397,398,894,606x = 751,208,423,896,607,900,041,216
  5. Step 5: Solve for x
    x = 751,208,423,896,607,900,041,216/397,398,894,606
  6. Step 6: Final answer
    x = 1,890,313,320,175.16

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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.