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Finding the Third Proportional to 9,586,518.75 and 13,484,076.75

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Solution

The third proportional to 9,586,518.75 and 13,484,076.75 is: 18,966,251.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586,518.75 : 13,484,076.75 = 13,484,076.75 : x
  2. Step 2: Convert to fraction form
    9,586,518.75/13,484,076.75 = 13,484,076.75/x
  3. Step 3: Cross multiply
    9,586,518.75x = 13,484,076.75 × 13,484,076.75
  4. Step 4: Simplify right side
    9,586,518.75x = 181,820,325,799,890.56
  5. Step 5: Solve for x
    x = 181,820,325,799,890.56/9,586,518.75
  6. Step 6: Final answer
    x = 18,966,251.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.