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Finding the Third Proportional to 2,302,666,782 and 3,537,177,832

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Solution

The third proportional to 2,302,666,782 and 3,537,177,832 is: 5,433,537,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302,666,782 : 3,537,177,832 = 3,537,177,832 : x
  2. Step 2: Convert to fraction form
    2,302,666,782/3,537,177,832 = 3,537,177,832/x
  3. Step 3: Cross multiply
    2,302,666,782x = 3,537,177,832 × 3,537,177,832
  4. Step 4: Simplify right side
    2,302,666,782x = 12,511,627,015,192,219,648
  5. Step 5: Solve for x
    x = 12,511,627,015,192,219,648/2,302,666,782
  6. Step 6: Final answer
    x = 5,433,537,806.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.