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Finding the Third Proportional to 10,082,757 and 15,497,923.50

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Solution

The third proportional to 10,082,757 and 15,497,923.50 is: 23,821,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082,757 : 15,497,923.50 = 15,497,923.50 : x
  2. Step 2: Convert to fraction form
    10,082,757/15,497,923.50 = 15,497,923.50/x
  3. Step 3: Cross multiply
    10,082,757x = 15,497,923.50 × 15,497,923.50
  4. Step 4: Simplify right side
    10,082,757x = 240,185,632,811,852.25
  5. Step 5: Solve for x
    x = 240,185,632,811,852.25/10,082,757
  6. Step 6: Final answer
    x = 23,821,424.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.