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Finding the Third Proportional to 3,586,348 and 7,739,441

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Solution

The third proportional to 3,586,348 and 7,739,441 is: 16,701,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586,348 : 7,739,441 = 7,739,441 : x
  2. Step 2: Convert to fraction form
    3,586,348/7,739,441 = 7,739,441/x
  3. Step 3: Cross multiply
    3,586,348x = 7,739,441 × 7,739,441
  4. Step 4: Simplify right side
    3,586,348x = 59,898,946,992,481
  5. Step 5: Solve for x
    x = 59,898,946,992,481/3,586,348
  6. Step 6: Final answer
    x = 16,701,933.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.