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Finding the Third Proportional to 9,712,974,736 and 20,899,100,960

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Solution

The third proportional to 9,712,974,736 and 20,899,100,960 is: 44,967,935,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712,974,736 : 20,899,100,960 = 20,899,100,960 : x
  2. Step 2: Convert to fraction form
    9,712,974,736/20,899,100,960 = 20,899,100,960/x
  3. Step 3: Cross multiply
    9,712,974,736x = 20,899,100,960 × 20,899,100,960
  4. Step 4: Simplify right side
    9,712,974,736x = 436,772,420,936,272,904,192
  5. Step 5: Solve for x
    x = 436,772,420,936,272,904,192/9,712,974,736
  6. Step 6: Final answer
    x = 44,967,935,447.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.