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Finding the Third Proportional to 19,285,099.31 and 41,185,656.56

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Solution

The third proportional to 19,285,099.31 and 41,185,656.56 is: 87,956,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,285,099.31 : 41,185,656.56 = 41,185,656.56 : x
  2. Step 2: Convert to fraction form
    19,285,099.31/41,185,656.56 = 41,185,656.56/x
  3. Step 3: Cross multiply
    19,285,099.31x = 41,185,656.56 × 41,185,656.56
  4. Step 4: Simplify right side
    19,285,099.31x = 1,696,258,306,484,199.25
  5. Step 5: Solve for x
    x = 1,696,258,306,484,199.25/19,285,099.31
  6. Step 6: Final answer
    x = 87,956,939.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.