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Finding the Third Proportional to 6,826,142 and 14,665,316

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Solution

The third proportional to 6,826,142 and 14,665,316 is: 31,507,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826,142 : 14,665,316 = 14,665,316 : x
  2. Step 2: Convert to fraction form
    6,826,142/14,665,316 = 14,665,316/x
  3. Step 3: Cross multiply
    6,826,142x = 14,665,316 × 14,665,316
  4. Step 4: Simplify right side
    6,826,142x = 215,071,493,379,856
  5. Step 5: Solve for x
    x = 215,071,493,379,856/6,826,142
  6. Step 6: Final answer
    x = 31,507,034.78

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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.