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Finding the Third Proportional to 5,963,589,294 and 12,974,366,674

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Solution

The third proportional to 5,963,589,294 and 12,974,366,674 is: 28,226,992,553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963,589,294 : 12,974,366,674 = 12,974,366,674 : x
  2. Step 2: Convert to fraction form
    5,963,589,294/12,974,366,674 = 12,974,366,674/x
  3. Step 3: Cross multiply
    5,963,589,294x = 12,974,366,674 × 12,974,366,674
  4. Step 4: Simplify right side
    5,963,589,294x = 168,334,190,591,401,820,160
  5. Step 5: Solve for x
    x = 168,334,190,591,401,820,160/5,963,589,294
  6. Step 6: Final answer
    x = 28,226,992,553.09

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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.