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Finding the Third Proportional to 9,451,201.83 and 14,596,532.16

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Solution

The third proportional to 9,451,201.83 and 14,596,532.16 is: 22,543,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451,201.83 : 14,596,532.16 = 14,596,532.16 : x
  2. Step 2: Convert to fraction form
    9,451,201.83/14,596,532.16 = 14,596,532.16/x
  3. Step 3: Cross multiply
    9,451,201.83x = 14,596,532.16 × 14,596,532.16
  4. Step 4: Simplify right side
    9,451,201.83x = 213,058,750,988,440.28
  5. Step 5: Solve for x
    x = 213,058,750,988,440.28/9,451,201.83
  6. Step 6: Final answer
    x = 22,543,032.61

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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.