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Finding the Third Proportional to 7,874,010 and 16,376,580

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Solution

The third proportional to 7,874,010 and 16,376,580 is: 34,060,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874,010 : 16,376,580 = 16,376,580 : x
  2. Step 2: Convert to fraction form
    7,874,010/16,376,580 = 16,376,580/x
  3. Step 3: Cross multiply
    7,874,010x = 16,376,580 × 16,376,580
  4. Step 4: Simplify right side
    7,874,010x = 268,192,372,496,400
  5. Step 5: Solve for x
    x = 268,192,372,496,400/7,874,010
  6. Step 6: Final answer
    x = 34,060,456.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.