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Finding the Third Proportional to 5,707,498 and 7,826,367

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Solution

The third proportional to 5,707,498 and 7,826,367 is: 10,731,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707,498 : 7,826,367 = 7,826,367 : x
  2. Step 2: Convert to fraction form
    5,707,498/7,826,367 = 7,826,367/x
  3. Step 3: Cross multiply
    5,707,498x = 7,826,367 × 7,826,367
  4. Step 4: Simplify right side
    5,707,498x = 61,252,020,418,689
  5. Step 5: Solve for x
    x = 61,252,020,418,689/5,707,498
  6. Step 6: Final answer
    x = 10,731,851.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.