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Finding the Third Proportional to 8,202,262 and 13,178,202

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Solution

The third proportional to 8,202,262 and 13,178,202 is: 21,172,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202,262 : 13,178,202 = 13,178,202 : x
  2. Step 2: Convert to fraction form
    8,202,262/13,178,202 = 13,178,202/x
  3. Step 3: Cross multiply
    8,202,262x = 13,178,202 × 13,178,202
  4. Step 4: Simplify right side
    8,202,262x = 173,665,007,952,804
  5. Step 5: Solve for x
    x = 173,665,007,952,804/8,202,262
  6. Step 6: Final answer
    x = 21,172,818.91

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.