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Finding the Third Proportional to 118,385,988,008 and 276,243,517,972

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Solution

The third proportional to 118,385,988,008 and 276,243,517,972 is: 644,590,483,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,385,988,008 : 276,243,517,972 = 276,243,517,972 : x
  2. Step 2: Convert to fraction form
    118,385,988,008/276,243,517,972 = 276,243,517,972/x
  3. Step 3: Cross multiply
    118,385,988,008x = 276,243,517,972 × 276,243,517,972
  4. Step 4: Simplify right side
    118,385,988,008x = 76,310,481,221,546,684,710,912
  5. Step 5: Solve for x
    x = 76,310,481,221,546,684,710,912/118,385,988,008
  6. Step 6: Final answer
    x = 644,590,483,262.17

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.