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Finding the Third Proportional to 23,966,058 and 52,416,163.50

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Solution

The third proportional to 23,966,058 and 52,416,163.50 is: 114,639,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,966,058 : 52,416,163.50 = 52,416,163.50 : x
  2. Step 2: Convert to fraction form
    23,966,058/52,416,163.50 = 52,416,163.50/x
  3. Step 3: Cross multiply
    23,966,058x = 52,416,163.50 × 52,416,163.50
  4. Step 4: Simplify right side
    23,966,058x = 2,747,454,196,058,732
  5. Step 5: Solve for x
    x = 2,747,454,196,058,732/23,966,058
  6. Step 6: Final answer
    x = 114,639,386.92

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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.