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Finding the Third Proportional to 188,770,633,848 and 404,466,991,560

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Solution

The third proportional to 188,770,633,848 and 404,466,991,560 is: 866,626,042,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,770,633,848 : 404,466,991,560 = 404,466,991,560 : x
  2. Step 2: Convert to fraction form
    188,770,633,848/404,466,991,560 = 404,466,991,560/x
  3. Step 3: Cross multiply
    188,770,633,848x = 404,466,991,560 × 404,466,991,560
  4. Step 4: Simplify right side
    188,770,633,848x = 163,593,547,261,597,118,889,984
  5. Step 5: Solve for x
    x = 163,593,547,261,597,118,889,984/188,770,633,848
  6. Step 6: Final answer
    x = 866,626,042,021.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.