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Finding the Third Proportional to 6,415,929 and 13,362,797.81

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Solution

The third proportional to 6,415,929 and 13,362,797.81 is: 27,831,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415,929 : 13,362,797.81 = 13,362,797.81 : x
  2. Step 2: Convert to fraction form
    6,415,929/13,362,797.81 = 13,362,797.81/x
  3. Step 3: Cross multiply
    6,415,929x = 13,362,797.81 × 13,362,797.81
  4. Step 4: Simplify right side
    6,415,929x = 178,564,365,377,754.78
  5. Step 5: Solve for x
    x = 178,564,365,377,754.78/6,415,929
  6. Step 6: Final answer
    x = 27,831,412.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.