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Finding the Third Proportional to 2,851,743 and 6,341,077.50

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Solution

The third proportional to 2,851,743 and 6,341,077.50 is: 14,099,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851,743 : 6,341,077.50 = 6,341,077.50 : x
  2. Step 2: Convert to fraction form
    2,851,743/6,341,077.50 = 6,341,077.50/x
  3. Step 3: Cross multiply
    2,851,743x = 6,341,077.50 × 6,341,077.50
  4. Step 4: Simplify right side
    2,851,743x = 40,209,263,861,006.25
  5. Step 5: Solve for x
    x = 40,209,263,861,006.25/2,851,743
  6. Step 6: Final answer
    x = 14,099,890.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.