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Finding the Third Proportional to 9,322,006,632 and 19,973,678,640

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Solution

The third proportional to 9,322,006,632 and 19,973,678,640 is: 42,796,347,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322,006,632 : 19,973,678,640 = 19,973,678,640 : x
  2. Step 2: Convert to fraction form
    9,322,006,632/19,973,678,640 = 19,973,678,640/x
  3. Step 3: Cross multiply
    9,322,006,632x = 19,973,678,640 × 19,973,678,640
  4. Step 4: Simplify right side
    9,322,006,632x = 398,947,838,413,992,230,912
  5. Step 5: Solve for x
    x = 398,947,838,413,992,230,912/9,322,006,632
  6. Step 6: Final answer
    x = 42,796,347,842.59

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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.