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Finding the Third Proportional to 13,185,600 and 27,381,776

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Solution

The third proportional to 13,185,600 and 27,381,776 is: 56,862,156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185,600 : 27,381,776 = 27,381,776 : x
  2. Step 2: Convert to fraction form
    13,185,600/27,381,776 = 27,381,776/x
  3. Step 3: Cross multiply
    13,185,600x = 27,381,776 × 27,381,776
  4. Step 4: Simplify right side
    13,185,600x = 749,761,656,914,176
  5. Step 5: Solve for x
    x = 749,761,656,914,176/13,185,600
  6. Step 6: Final answer
    x = 56,862,156.97

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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.