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Finding the Third Proportional to 10,483,563.38 and 22,424,424.75

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Solution

The third proportional to 10,483,563.38 and 22,424,424.75 is: 47,966,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483,563.38 : 22,424,424.75 = 22,424,424.75 : x
  2. Step 2: Convert to fraction form
    10,483,563.38/22,424,424.75 = 22,424,424.75/x
  3. Step 3: Cross multiply
    10,483,563.38x = 22,424,424.75 × 22,424,424.75
  4. Step 4: Simplify right side
    10,483,563.38x = 502,854,825,368,412.56
  5. Step 5: Solve for x
    x = 502,854,825,368,412.56/10,483,563.38
  6. Step 6: Final answer
    x = 47,966,021.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.