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Finding the Third Proportional to 4,289,043.66 and 9,441,678.94

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Solution

The third proportional to 4,289,043.66 and 9,441,678.94 is: 20,784,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289,043.66 : 9,441,678.94 = 9,441,678.94 : x
  2. Step 2: Convert to fraction form
    4,289,043.66/9,441,678.94 = 9,441,678.94/x
  3. Step 3: Cross multiply
    4,289,043.66x = 9,441,678.94 × 9,441,678.94
  4. Step 4: Simplify right side
    4,289,043.66x = 89,145,301,158,831.12
  5. Step 5: Solve for x
    x = 89,145,301,158,831.12/4,289,043.66
  6. Step 6: Final answer
    x = 20,784,423.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.