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Finding the Third Proportional to 6,826,237 and 14,665,507

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Solution

The third proportional to 6,826,237 and 14,665,507 is: 31,507,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826,237 : 14,665,507 = 14,665,507 : x
  2. Step 2: Convert to fraction form
    6,826,237/14,665,507 = 14,665,507/x
  3. Step 3: Cross multiply
    6,826,237x = 14,665,507 × 14,665,507
  4. Step 4: Simplify right side
    6,826,237x = 215,077,095,567,049
  5. Step 5: Solve for x
    x = 215,077,095,567,049/6,826,237
  6. Step 6: Final answer
    x = 31,507,416.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.