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Finding the Third Proportional to 27,991,510,283 and 61,688,581,807

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Solution

The third proportional to 27,991,510,283 and 61,688,581,807 is: 135,951,261,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,991,510,283 : 61,688,581,807 = 61,688,581,807 : x
  2. Step 2: Convert to fraction form
    27,991,510,283/61,688,581,807 = 61,688,581,807/x
  3. Step 3: Cross multiply
    27,991,510,283x = 61,688,581,807 × 61,688,581,807
  4. Step 4: Simplify right side
    27,991,510,283x = 3,805,481,125,358,931,542,016
  5. Step 5: Solve for x
    x = 3,805,481,125,358,931,542,016/27,991,510,283
  6. Step 6: Final answer
    x = 135,951,261,181.86

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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.