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Finding the Third Proportional to 2,486,821,617 and 5,393,233,177.88

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Solution

The third proportional to 2,486,821,617 and 5,393,233,177.88 is: 11,696,441,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486,821,617 : 5,393,233,177.88 = 5,393,233,177.88 : x
  2. Step 2: Convert to fraction form
    2,486,821,617/5,393,233,177.88 = 5,393,233,177.88/x
  3. Step 3: Cross multiply
    2,486,821,617x = 5,393,233,177.88 × 5,393,233,177.88
  4. Step 4: Simplify right side
    2,486,821,617x = 29,086,964,110,931,673,088
  5. Step 5: Solve for x
    x = 29,086,964,110,931,673,088/2,486,821,617
  6. Step 6: Final answer
    x = 11,696,441,719.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.