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Finding the Third Proportional to 23,036,399,202 and 34,403,643,234

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Solution

The third proportional to 23,036,399,202 and 34,403,643,234 is: 51,380,020,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,036,399,202 : 34,403,643,234 = 34,403,643,234 : x
  2. Step 2: Convert to fraction form
    23,036,399,202/34,403,643,234 = 34,403,643,234/x
  3. Step 3: Cross multiply
    23,036,399,202x = 34,403,643,234 × 34,403,643,234
  4. Step 4: Simplify right side
    23,036,399,202x = 1,183,610,667,772,353,970,176
  5. Step 5: Solve for x
    x = 1,183,610,667,772,353,970,176/23,036,399,202
  6. Step 6: Final answer
    x = 51,380,020,696.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.