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Finding the Third Proportional to 9,804,789,372 and 20,972,724,816

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Solution

The third proportional to 9,804,789,372 and 20,972,724,816 is: 44,861,258,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804,789,372 : 20,972,724,816 = 20,972,724,816 : x
  2. Step 2: Convert to fraction form
    9,804,789,372/20,972,724,816 = 20,972,724,816/x
  3. Step 3: Cross multiply
    9,804,789,372x = 20,972,724,816 × 20,972,724,816
  4. Step 4: Simplify right side
    9,804,789,372x = 439,855,186,207,662,211,072
  5. Step 5: Solve for x
    x = 439,855,186,207,662,211,072/9,804,789,372
  6. Step 6: Final answer
    x = 44,861,258,056.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.