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Finding the Third Proportional to 23,547,635,036 and 36,194,403,326

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Solution

The third proportional to 23,547,635,036 and 36,194,403,326 is: 55,633,392,912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547,635,036 : 36,194,403,326 = 36,194,403,326 : x
  2. Step 2: Convert to fraction form
    23,547,635,036/36,194,403,326 = 36,194,403,326/x
  3. Step 3: Cross multiply
    23,547,635,036x = 36,194,403,326 × 36,194,403,326
  4. Step 4: Simplify right side
    23,547,635,036x = 1,310,034,832,125,159,800,832
  5. Step 5: Solve for x
    x = 1,310,034,832,125,159,800,832/23,547,635,036
  6. Step 6: Final answer
    x = 55,633,392,912.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.