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Finding the Third Proportional to 58,380,096,678 and 127,461,289,764

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Solution

The third proportional to 58,380,096,678 and 127,461,289,764 is: 278,286,287,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,380,096,678 : 127,461,289,764 = 127,461,289,764 : x
  2. Step 2: Convert to fraction form
    58,380,096,678/127,461,289,764 = 127,461,289,764/x
  3. Step 3: Cross multiply
    58,380,096,678x = 127,461,289,764 × 127,461,289,764
  4. Step 4: Simplify right side
    58,380,096,678x = 16,246,380,388,302,370,897,920
  5. Step 5: Solve for x
    x = 16,246,380,388,302,370,897,920/58,380,096,678
  6. Step 6: Final answer
    x = 278,286,287,840.71

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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.