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Finding the Third Proportional to 5,964,864.75 and 9,460,285.88

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Solution

The third proportional to 5,964,864.75 and 9,460,285.88 is: 15,004,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964,864.75 : 9,460,285.88 = 9,460,285.88 : x
  2. Step 2: Convert to fraction form
    5,964,864.75/9,460,285.88 = 9,460,285.88/x
  3. Step 3: Cross multiply
    5,964,864.75x = 9,460,285.88 × 9,460,285.88
  4. Step 4: Simplify right side
    5,964,864.75x = 89,497,008,836,724.52
  5. Step 5: Solve for x
    x = 89,497,008,836,724.52/5,964,864.75
  6. Step 6: Final answer
    x = 15,004,029.86

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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.