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Finding the Third Proportional to 542,433,519 and 1,177,337,893.50

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Solution

The third proportional to 542,433,519 and 1,177,337,893.50 is: 2,555,381,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,433,519 : 1,177,337,893.50 = 1,177,337,893.50 : x
  2. Step 2: Convert to fraction form
    542,433,519/1,177,337,893.50 = 1,177,337,893.50/x
  3. Step 3: Cross multiply
    542,433,519x = 1,177,337,893.50 × 1,177,337,893.50
  4. Step 4: Simplify right side
    542,433,519x = 1,386,124,515,471,017,216
  5. Step 5: Solve for x
    x = 1,386,124,515,471,017,216/542,433,519
  6. Step 6: Final answer
    x = 2,555,381,382.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.