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Finding the Third Proportional to 13,185,398 and 27,381,352

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Solution

The third proportional to 13,185,398 and 27,381,352 is: 56,861,267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185,398 : 27,381,352 = 27,381,352 : x
  2. Step 2: Convert to fraction form
    13,185,398/27,381,352 = 27,381,352/x
  3. Step 3: Cross multiply
    13,185,398x = 27,381,352 × 27,381,352
  4. Step 4: Simplify right side
    13,185,398x = 749,738,437,347,904
  5. Step 5: Solve for x
    x = 749,738,437,347,904/13,185,398
  6. Step 6: Final answer
    x = 56,861,267.09

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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.