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Finding the Third Proportional to 27,991,510,310 and 61,688,581,836

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Solution

The third proportional to 27,991,510,310 and 61,688,581,836 is: 135,951,261,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,991,510,310 : 61,688,581,836 = 61,688,581,836 : x
  2. Step 2: Convert to fraction form
    27,991,510,310/61,688,581,836 = 61,688,581,836/x
  3. Step 3: Cross multiply
    27,991,510,310x = 61,688,581,836 × 61,688,581,836
  4. Step 4: Simplify right side
    27,991,510,310x = 3,805,481,128,936,868,937,728
  5. Step 5: Solve for x
    x = 3,805,481,128,936,868,937,728/27,991,510,310
  6. Step 6: Final answer
    x = 135,951,261,178.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.