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Finding the Third Proportional to 6,225,796 and 9,614,886

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Solution

The third proportional to 6,225,796 and 9,614,886 is: 14,848,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225,796 : 9,614,886 = 9,614,886 : x
  2. Step 2: Convert to fraction form
    6,225,796/9,614,886 = 9,614,886/x
  3. Step 3: Cross multiply
    6,225,796x = 9,614,886 × 9,614,886
  4. Step 4: Simplify right side
    6,225,796x = 92,446,032,792,996
  5. Step 5: Solve for x
    x = 92,446,032,792,996/6,225,796
  6. Step 6: Final answer
    x = 14,848,869.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.