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Finding the Third Proportional to 27,991,511,506 and 61,688,584,676

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Solution

The third proportional to 27,991,511,506 and 61,688,584,676 is: 135,951,267,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,991,511,506 : 61,688,584,676 = 61,688,584,676 : x
  2. Step 2: Convert to fraction form
    27,991,511,506/61,688,584,676 = 61,688,584,676/x
  3. Step 3: Cross multiply
    27,991,511,506x = 61,688,584,676 × 61,688,584,676
  4. Step 4: Simplify right side
    27,991,511,506x = 3,805,481,479,328,022,134,784
  5. Step 5: Solve for x
    x = 3,805,481,479,328,022,134,784/27,991,511,506
  6. Step 6: Final answer
    x = 135,951,267,887.49

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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.