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Finding the Third Proportional to 40,345,098,622 and 88,290,329,449

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Solution

The third proportional to 40,345,098,622 and 88,290,329,449 is: 193,212,621,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,345,098,622 : 88,290,329,449 = 88,290,329,449 : x
  2. Step 2: Convert to fraction form
    40,345,098,622/88,290,329,449 = 88,290,329,449/x
  3. Step 3: Cross multiply
    40,345,098,622x = 88,290,329,449 × 88,290,329,449
  4. Step 4: Simplify right side
    40,345,098,622x = 7,795,182,274,212,956,995,584
  5. Step 5: Solve for x
    x = 7,795,182,274,212,956,995,584/40,345,098,622
  6. Step 6: Final answer
    x = 193,212,621,618.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.