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Finding the Third Proportional to 6,309,896 and 9,461,772

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Solution

The third proportional to 6,309,896 and 9,461,772 is: 14,188,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309,896 : 9,461,772 = 9,461,772 : x
  2. Step 2: Convert to fraction form
    6,309,896/9,461,772 = 9,461,772/x
  3. Step 3: Cross multiply
    6,309,896x = 9,461,772 × 9,461,772
  4. Step 4: Simplify right side
    6,309,896x = 89,525,129,379,984
  5. Step 5: Solve for x
    x = 89,525,129,379,984/6,309,896
  6. Step 6: Final answer
    x = 14,188,051.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.