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Finding the Third Proportional to 4,550,332.57 and 6,400,363.71

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Solution

The third proportional to 4,550,332.57 and 6,400,363.71 is: 9,002,563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550,332.57 : 6,400,363.71 = 6,400,363.71 : x
  2. Step 2: Convert to fraction form
    4,550,332.57/6,400,363.71 = 6,400,363.71/x
  3. Step 3: Cross multiply
    4,550,332.57x = 6,400,363.71 × 6,400,363.71
  4. Step 4: Simplify right side
    4,550,332.57x = 40,964,655,632,285.65
  5. Step 5: Solve for x
    x = 40,964,655,632,285.65/4,550,332.57
  6. Step 6: Final answer
    x = 9,002,563.00

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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.