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Finding the Third Proportional to 23,961,829.50 and 52,484,758.50

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Solution

The third proportional to 23,961,829.50 and 52,484,758.50 is: 114,959,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,961,829.50 : 52,484,758.50 = 52,484,758.50 : x
  2. Step 2: Convert to fraction form
    23,961,829.50/52,484,758.50 = 52,484,758.50/x
  3. Step 3: Cross multiply
    23,961,829.50x = 52,484,758.50 × 52,484,758.50
  4. Step 4: Simplify right side
    23,961,829.50x = 2,754,649,874,803,322
  5. Step 5: Solve for x
    x = 2,754,649,874,803,322/23,961,829.50
  6. Step 6: Final answer
    x = 114,959,914.68

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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.