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Finding the Third Proportional to 5,837,634 and 12,433,023

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Solution

The third proportional to 5,837,634 and 12,433,023 is: 26,479,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837,634 : 12,433,023 = 12,433,023 : x
  2. Step 2: Convert to fraction form
    5,837,634/12,433,023 = 12,433,023/x
  3. Step 3: Cross multiply
    5,837,634x = 12,433,023 × 12,433,023
  4. Step 4: Simplify right side
    5,837,634x = 154,580,060,918,529
  5. Step 5: Solve for x
    x = 154,580,060,918,529/5,837,634
  6. Step 6: Final answer
    x = 26,479,916.51

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.