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Finding the Third Proportional to 2,347,005.75 and 5,030,854.50

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Solution

The third proportional to 2,347,005.75 and 5,030,854.50 is: 10,783,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347,005.75 : 5,030,854.50 = 5,030,854.50 : x
  2. Step 2: Convert to fraction form
    2,347,005.75/5,030,854.50 = 5,030,854.50/x
  3. Step 3: Cross multiply
    2,347,005.75x = 5,030,854.50 × 5,030,854.50
  4. Step 4: Simplify right side
    2,347,005.75x = 25,309,497,000,170.25
  5. Step 5: Solve for x
    x = 25,309,497,000,170.25/2,347,005.75
  6. Step 6: Final answer
    x = 10,783,738.81

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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.