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Finding the Third Proportional to 2,851,663.50 and 6,340,896

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Solution

The third proportional to 2,851,663.50 and 6,340,896 is: 14,099,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851,663.50 : 6,340,896 = 6,340,896 : x
  2. Step 2: Convert to fraction form
    2,851,663.50/6,340,896 = 6,340,896/x
  3. Step 3: Cross multiply
    2,851,663.50x = 6,340,896 × 6,340,896
  4. Step 4: Simplify right side
    2,851,663.50x = 40,206,962,082,816
  5. Step 5: Solve for x
    x = 40,206,962,082,816/2,851,663.50
  6. Step 6: Final answer
    x = 14,099,476.35

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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.