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Finding the Third Proportional to 5,738,002 and 12,123,657

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Solution

The third proportional to 5,738,002 and 12,123,657 is: 25,615,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738,002 : 12,123,657 = 12,123,657 : x
  2. Step 2: Convert to fraction form
    5,738,002/12,123,657 = 12,123,657/x
  3. Step 3: Cross multiply
    5,738,002x = 12,123,657 × 12,123,657
  4. Step 4: Simplify right side
    5,738,002x = 146,983,059,053,649
  5. Step 5: Solve for x
    x = 146,983,059,053,649/5,738,002
  6. Step 6: Final answer
    x = 25,615,721.13

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.