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Finding the Third Proportional to 12,415,173 and 19,154,174

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Solution

The third proportional to 12,415,173 and 19,154,174 is: 29,551,129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415,173 : 19,154,174 = 19,154,174 : x
  2. Step 2: Convert to fraction form
    12,415,173/19,154,174 = 19,154,174/x
  3. Step 3: Cross multiply
    12,415,173x = 19,154,174 × 19,154,174
  4. Step 4: Simplify right side
    12,415,173x = 366,882,381,622,276
  5. Step 5: Solve for x
    x = 366,882,381,622,276/12,415,173
  6. Step 6: Final answer
    x = 29,551,129.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.