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Finding the Third Proportional to 6,500,326 and 13,840,461

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Solution

The third proportional to 6,500,326 and 13,840,461 is: 29,469,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500,326 : 13,840,461 = 13,840,461 : x
  2. Step 2: Convert to fraction form
    6,500,326/13,840,461 = 13,840,461/x
  3. Step 3: Cross multiply
    6,500,326x = 13,840,461 × 13,840,461
  4. Step 4: Simplify right side
    6,500,326x = 191,558,360,692,521
  5. Step 5: Solve for x
    x = 191,558,360,692,521/6,500,326
  6. Step 6: Final answer
    x = 29,469,039.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.