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Finding the Third Proportional to 4,221,404.16 and 9,955,243.83

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Solution

The third proportional to 4,221,404.16 and 9,955,243.83 is: 23,477,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221,404.16 : 9,955,243.83 = 9,955,243.83 : x
  2. Step 2: Convert to fraction form
    4,221,404.16/9,955,243.83 = 9,955,243.83/x
  3. Step 3: Cross multiply
    4,221,404.16x = 9,955,243.83 × 9,955,243.83
  4. Step 4: Simplify right side
    4,221,404.16x = 99,106,879,677,420.91
  5. Step 5: Solve for x
    x = 99,106,879,677,420.91/4,221,404.16
  6. Step 6: Final answer
    x = 23,477,230.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.