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Finding the Third Proportional to 12,096,000.84 and 19,183,552.31

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Solution

The third proportional to 12,096,000.84 and 19,183,552.31 is: 30,423,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096,000.84 : 19,183,552.31 = 19,183,552.31 : x
  2. Step 2: Convert to fraction form
    12,096,000.84/19,183,552.31 = 19,183,552.31/x
  3. Step 3: Cross multiply
    12,096,000.84x = 19,183,552.31 × 19,183,552.31
  4. Step 4: Simplify right side
    12,096,000.84x = 368,008,679,326,424.12
  5. Step 5: Solve for x
    x = 368,008,679,326,424.12/12,096,000.84
  6. Step 6: Final answer
    x = 30,423,995.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.