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Finding the Third Proportional to 9,712,974,832 and 20,899,101,152

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Solution

The third proportional to 9,712,974,832 and 20,899,101,152 is: 44,967,935,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712,974,832 : 20,899,101,152 = 20,899,101,152 : x
  2. Step 2: Convert to fraction form
    9,712,974,832/20,899,101,152 = 20,899,101,152/x
  3. Step 3: Cross multiply
    9,712,974,832x = 20,899,101,152 × 20,899,101,152
  4. Step 4: Simplify right side
    9,712,974,832x = 436,772,428,961,527,758,848
  5. Step 5: Solve for x
    x = 436,772,428,961,527,758,848/9,712,974,832
  6. Step 6: Final answer
    x = 44,967,935,829.77

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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.