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Finding the Third Proportional to 612,113,940 and 1,311,553,974

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Solution

The third proportional to 612,113,940 and 1,311,553,974 is: 2,810,218,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,113,940 : 1,311,553,974 = 1,311,553,974 : x
  2. Step 2: Convert to fraction form
    612,113,940/1,311,553,974 = 1,311,553,974/x
  3. Step 3: Cross multiply
    612,113,940x = 1,311,553,974 × 1,311,553,974
  4. Step 4: Simplify right side
    612,113,940x = 1,720,173,826,715,192,576
  5. Step 5: Solve for x
    x = 1,720,173,826,715,192,576/612,113,940
  6. Step 6: Final answer
    x = 2,810,218,350.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.