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Finding the Third Proportional to 9,322,006,610 and 19,973,678,596

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Solution

The third proportional to 9,322,006,610 and 19,973,678,596 is: 42,796,347,755.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322,006,610 : 19,973,678,596 = 19,973,678,596 : x
  2. Step 2: Convert to fraction form
    9,322,006,610/19,973,678,596 = 19,973,678,596/x
  3. Step 3: Cross multiply
    9,322,006,610x = 19,973,678,596 × 19,973,678,596
  4. Step 4: Simplify right side
    9,322,006,610x = 398,947,836,656,308,518,912
  5. Step 5: Solve for x
    x = 398,947,836,656,308,518,912/9,322,006,610
  6. Step 6: Final answer
    x = 42,796,347,755.04

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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.