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Finding the Third Proportional to 10,422,014.06 and 22,638,141

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Solution

The third proportional to 10,422,014.06 and 22,638,141 is: 49,173,357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422,014.06 : 22,638,141 = 22,638,141 : x
  2. Step 2: Convert to fraction form
    10,422,014.06/22,638,141 = 22,638,141/x
  3. Step 3: Cross multiply
    10,422,014.06x = 22,638,141 × 22,638,141
  4. Step 4: Simplify right side
    10,422,014.06x = 512,485,427,935,881
  5. Step 5: Solve for x
    x = 512,485,427,935,881/10,422,014.06
  6. Step 6: Final answer
    x = 49,173,357.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.