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Finding the Third Proportional to 5,206,424 and 10,666,576

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Solution

The third proportional to 5,206,424 and 10,666,576 is: 21,852,973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,424 : 10,666,576 = 10,666,576 : x
  2. Step 2: Convert to fraction form
    5,206,424/10,666,576 = 10,666,576/x
  3. Step 3: Cross multiply
    5,206,424x = 10,666,576 × 10,666,576
  4. Step 4: Simplify right side
    5,206,424x = 113,775,843,563,776
  5. Step 5: Solve for x
    x = 113,775,843,563,776/5,206,424
  6. Step 6: Final answer
    x = 21,852,973.09

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.