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Finding the Third Proportional to 23,961,769.31 and 52,484,724.56

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Solution

The third proportional to 23,961,769.31 and 52,484,724.56 is: 114,960,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,961,769.31 : 52,484,724.56 = 52,484,724.56 : x
  2. Step 2: Convert to fraction form
    23,961,769.31/52,484,724.56 = 52,484,724.56/x
  3. Step 3: Cross multiply
    23,961,769.31x = 52,484,724.56 × 52,484,724.56
  4. Step 4: Simplify right side
    23,961,769.31x = 2,754,646,312,401,491
  5. Step 5: Solve for x
    x = 2,754,646,312,401,491/23,961,769.31
  6. Step 6: Final answer
    x = 114,960,054.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.