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Finding the Third Proportional to 4,551,786.84 and 9,752,823.42

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Solution

The third proportional to 4,551,786.84 and 9,752,823.42 is: 20,896,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551,786.84 : 9,752,823.42 = 9,752,823.42 : x
  2. Step 2: Convert to fraction form
    4,551,786.84/9,752,823.42 = 9,752,823.42/x
  3. Step 3: Cross multiply
    4,551,786.84x = 9,752,823.42 × 9,752,823.42
  4. Step 4: Simplify right side
    4,551,786.84x = 95,117,564,698,273.58
  5. Step 5: Solve for x
    x = 95,117,564,698,273.58/4,551,786.84
  6. Step 6: Final answer
    x = 20,896,752.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.