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Finding the Third Proportional to 13,857,788,338 and 28,450,218,406

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Solution

The third proportional to 13,857,788,338 and 28,450,218,406 is: 58,408,665,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857,788,338 : 28,450,218,406 = 28,450,218,406 : x
  2. Step 2: Convert to fraction form
    13,857,788,338/28,450,218,406 = 28,450,218,406/x
  3. Step 3: Cross multiply
    13,857,788,338x = 28,450,218,406 × 28,450,218,406
  4. Step 4: Simplify right side
    13,857,788,338x = 809,414,927,349,101,232,128
  5. Step 5: Solve for x
    x = 809,414,927,349,101,232,128/13,857,788,338
  6. Step 6: Final answer
    x = 58,408,665,770.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.