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Finding the Third Proportional to 58,380,096,674 and 127,461,289,756

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Solution

The third proportional to 58,380,096,674 and 127,461,289,756 is: 278,286,287,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,380,096,674 : 127,461,289,756 = 127,461,289,756 : x
  2. Step 2: Convert to fraction form
    58,380,096,674/127,461,289,756 = 127,461,289,756/x
  3. Step 3: Cross multiply
    58,380,096,674x = 127,461,289,756 × 127,461,289,756
  4. Step 4: Simplify right side
    58,380,096,674x = 16,246,380,386,262,991,241,216
  5. Step 5: Solve for x
    x = 16,246,380,386,262,991,241,216/58,380,096,674
  6. Step 6: Final answer
    x = 278,286,287,824.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.