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Finding the Third Proportional to 9,322,006,624 and 19,973,678,629

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Solution

The third proportional to 9,322,006,624 and 19,973,678,629 is: 42,796,347,832.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322,006,624 : 19,973,678,629 = 19,973,678,629 : x
  2. Step 2: Convert to fraction form
    9,322,006,624/19,973,678,629 = 19,973,678,629/x
  3. Step 3: Cross multiply
    9,322,006,624x = 19,973,678,629 × 19,973,678,629
  4. Step 4: Simplify right side
    9,322,006,624x = 398,947,837,974,571,319,296
  5. Step 5: Solve for x
    x = 398,947,837,974,571,319,296/9,322,006,624
  6. Step 6: Final answer
    x = 42,796,347,832.18

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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.