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Finding the Third Proportional to 3,807,302,272,678 and 8,362,559,333,564

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Solution

The third proportional to 3,807,302,272,678 and 8,362,559,333,564 is: 18,367,965,976,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807,302,272,678 : 8,362,559,333,564 = 8,362,559,333,564 : x
  2. Step 2: Convert to fraction form
    3,807,302,272,678/8,362,559,333,564 = 8,362,559,333,564/x
  3. Step 3: Cross multiply
    3,807,302,272,678x = 8,362,559,333,564 × 8,362,559,333,564
  4. Step 4: Simplify right side
    3,807,302,272,678x = 69,932,398,607,378,370,183,299,072
  5. Step 5: Solve for x
    x = 69,932,398,607,378,370,183,299,072/3,807,302,272,678
  6. Step 6: Final answer
    x = 18,367,965,976,651.75

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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.