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Finding the Third Proportional to 5,303,832,287 and 11,549,311,601

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Solution

The third proportional to 5,303,832,287 and 11,549,311,601 is: 25,149,098,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303,832,287 : 11,549,311,601 = 11,549,311,601 : x
  2. Step 2: Convert to fraction form
    5,303,832,287/11,549,311,601 = 11,549,311,601/x
  3. Step 3: Cross multiply
    5,303,832,287x = 11,549,311,601 × 11,549,311,601
  4. Step 4: Simplify right side
    5,303,832,287x = 133,386,598,456,993,185,792
  5. Step 5: Solve for x
    x = 133,386,598,456,993,185,792/5,303,832,287
  6. Step 6: Final answer
    x = 25,149,098,093.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.